how do you find the height of a triangle (to calculate area)?

How Do You Find The Height Of A Triangle (to Calculate Area)?

Answers

Answer 1

Answer:

The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

Height of the triangle = 10.392

And the area of the triangle is:

Area of the triangle = 31.176 units^2

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2(adjacent leg)^2 = 12^2 - 6^2(adjacent leg)^2 = 144 - 36(adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

adjacent leg = [tex]\sqrt{108}[/tex]adjacent leg = 10.392 approximately.

Now, with these data, we can find the area of the triangle with the next formula:

Area of a triangle = (base * height) / 2And we replace the measurements:Area of a triangle = (6 * 10.392) / 2Area of a triangle = 31.176

As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.


Related Questions

Andy runs 437.5 meters in 62.5 seconds. If Andy runs at a constant speed, how far does he run in one second?

Answers

Answer:

1 sec = 437.5 divided by 62.5

=7

Step-by-step explanation:

7 meter per second

The points (-10,r) and (-6, 4) lie on a line with slope1/4 Find the missing coordinate r. ​

Answers

That's the answer

Just open it

ASAP!!!!!!!!!

SAT scores are normally distributed with a mean of
500 and a standard deviation of 60. Find the z-score
of an SAT score of 380.

Answers

Answer:

the z-score for the sat score of 380 is 2

Step-by-step explanation:

the way i got this is you got to take the standard deviation value and subtract it from the mean since the value 380 is less than 500.

500-60=440-60=380

so the answer would be a z-score of 2

Simplify x^1/3(x^1/2+2x^2)


Answers

Answer:

[tex]x^{5/6 } + 2\cdot x^{7/3}[/tex]

Step-by-step explanation:

Let be [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex], which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex]  Given.

2) [tex]x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})[/tex] Distributive and associative properties.

3) [tex]x^{5/6 } + 2\cdot x^{7/3}[/tex] [tex]a^{m}\cdot a^{n} = a^{m+n}[/tex]/Result

The theater sells two types of tickets: adult tickets for $7 and child tickets for $4. Last night, the theater sold a total of 76 tickets for a total of $469. How many adult tickets did the theater sell last night?

Answers

Answer:

55 tickets for adults

Step-by-step explanation:

Start by setting up two equations. One equation will be the total amount of money spent and the other is the total amount of tickets sold. a is the # of adult tickets and c is the # of children tickets sold.

7a+4c=469

a+c=76

Now solve for c in the second equation. Then use that to substitute for c in the first equation.

c=76-a

7a+4(76-a)=469

7a+ 304-4a =469

7a+4a=165

3a=165

a=165/3

a=55

The weight of four puppies are shown in pounds 9.5 9 3/8 9.125 9 3/4 which list shows these weights in order from greatest to least?

Answers

Answer:

9. 3 ÷ 4, 9.5, 9. 3 ÷ 8, 9.125

Step-by-step explanation:

Given that

The weight of four puppies are 9.5 9 3 ÷ 8 9.125 9 3 ÷ 4

We need to find out the weight from high to low

So,

First we place the number in decimals

After this, we line all up

Now place the numbers from high to low

The above shows the correct order

Therefore the same would be considered and relevant

Find the slope of the line that passes through ( 25,20 ) and ( 11,-20 )

Answers

Slope = change in y over change in x

Slope = (-20 -20)/ (11-25)

Slope = -40/ -14

Slope = 20/7

What is the least common denominator of the fractions 1/3 5/6 5/9

Answers

Answer:

3

Step-by-step explanation:

Three

3, 6, and 9 are all divisible by 3. And it's the lowest whole number you can divide them all by.

The ordered pair (5, __ ) is the linear relation with equation y = -2x + 8. Find the missing number in the ordered pair.

Answers

Answer:

-2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationCoordinates (x, y)

Step-by-step explanation:

Step 1: Define

[Function] y = -2x + 8

[Coordinate] (5, __) → x = 5

Step 2: Solve for y

Substitute in x [Function]:                                                                                y = -2(5) + 8Multiply:                                                                                                             y = -10 + 8Add:                                                                                                                   y = -2

Please help! Thank you so much! please use lots of details!

Answers

A small rectangle, large rectangle, a small rectangle

Also, just as a tip- for Schoology, to edit the doc/slide in the normal way, press "edit" and let the document open in a new tab. To submit, go back to the screen you're on right now, and submit as usual

Please help! I will give Brainliest!
Who is correct?

Answers

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love you

Step-by-step explanation:

Janelle wants to purchase a house that costs $425,000. She needs to have 20% of the purchase price for the down payment. What is the down payment?

Answers

Answer:

85,000

Step-by-step explanation:

425,000 x .20=85,000

help me with this math question please I'm giving away brainliests​

Answers

Answer:the first ans  (f(x)=(1/x+2)+3

Step-by-step explanation:

Answer:

Its the first one

Step-by-step explanation:

f(x) = 1/x + 2 + 3

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

its jimmy

Step-by-step explanation:

Answer:

-7

-8

Step-by-step explanation:

Factors need to add up to the b in the equation and multiply to the ac.

y = ax^2 + bx + c

In parallelogram PQRS if m_SPQ=25º find m_RSP.
R
Р
25°
XS

Answers

Answer:

180-25=155 degrees

180-25=155.


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What is -29=9-6k-2k-14 If you don't know do not answer!!!
MUST SHOW WORK!!!

Answers

Answer:

Positive 3

Step-by-step explanation:

-29=9-6k-2k-14

-29=-5-8k

-24=-8k

k=3

Giving brainlist to whoever answers

Answers

Answer: I belive b, I could be wrong  tho.

Step-by-step explanation:

Answer:

I think that the answer is B

solve the quadratic equation:
3x^2+x-5=0

Answers

3x²+x-5=0

a = 3, b = 1, c= -5

-> ∆ ( delta ) = b²-4ac = 61 > 0

-> x1 =( -b+√∆ )÷ 2a =...

x2 = (-b-√∆)÷2a =...

p/s: do your teachers teach you how to use ∆ ( delta ) in maths calculation ? i live in europe and our teachers teach us that way. however, it is a rịght and fast way. you should learn it.

Can somebody help me out my grade are bad

Answers

Answer:

Mixed Number: 7 And 1/10

Improper Fraction: 71/10

Please give me Brainliest if I'm right ! :)

Answer:

Mixed Number: 7 1/10

Improper Fraction: 71/10

Step-by-step explanation:

A Mixed Number is a Number with a fraction as part of it so 7 is a whole number, so this is the "number" part. .1 isnt a whole number, so you find out what the simplified form of .1 is, and you get 1/10. Put them together and you get 7 1/10. An improper fraction is where the number becomes only a fraction, no whole numbers allowed! you can find out 1 = 10/10 so this means 7 = 70/10. Add the .1 (1/10) to this and you get 71/10.

The amount of money fundraised by westover high is represented by (6x+7) the amount of money raised by fundraised by monroe high is represented by (2x -4)​

Answers

Answer:

what is the question exactly? please

How many terms are in the expression x + 4x-3?
O A. 5
O B. 3
O C. 6
O D. 4

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

B. 3

Thanks Hope it helps
B. 3

The terms are x, 4x, and -3

Can someone help me on this

Answers

Answer:

2x+h

Step-by-step explanation:

f(x+h) means that wherever there's an x in the function f(x) we plug in a x+h

we have

(x+h)²+9

Let's start with the numerator

(x+h)²+9-(x²+9)

Distribute the exponent

x²+2xh+h²+9-x²-9

Which gives us

2xh+h²

Divide the whole thing by h to give us

2x+h

PLEASE HELPPP

AKA JASMINE IS THE BEST PUR
will give brainliest

Answers

Answer:

45/2

Step-by-step explanation:

ashjasdhkjasdha hello there

There are two people and there are 45 minutes to shoot the ball. As both people shoot for the exact same time, you have to divide 45 by 2 to split the time into two equal halves. Thus, the answer is 45 divided by 2, or just 45/2.

A store that provides hedonic benefits will __________. [This question has been randomly selected from a pool of 3 questions. For optimal success in this class, repeat this chapter's questions until you are sure you are acquainted with all of the alternate versions of each question.] Group of answer choices have drive-through facilities emphasize efficiency in the check-out process encourage customers to shop as quickly as possible stock only essential products offer an entertaining and enjoyable shopping experienc

Answers

Answer:

offer an entertaining and enjoyable shopping experience.

Step-by-step explanation:

Hedonistic is a word in English language used to describe the pursuit of pleasure by an individual or group of people as the main activity of life. A hedonistic individual is typically devoted to seeking and having fun and pleasurable times in life.

Hence, a store that provides hedonic benefits will offer an entertaining and enjoyable shopping experience such as playing video games, swimming, viewing centers, playing music or karaoke, etc. The main purpose of hedonic benefits is to induce or enhance customer impulsiveness, as well as influencing their decision to stay longer in the shopping environment or store.

write the equation of a circle with a center at (-1,2) and a radius of 7

Answers

Answer:

[tex](x+1)^2+(y-2)^2=49[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where  r  is the radius, and the center is (h, k).

(h, k) = (-1, 2),  r = 7

[tex](x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49[/tex]

Trevor's mom bought 3 gallons of fruit juice at the store how many fluid ounces of fruit juice did Trevor‘s mom buy?

Answers

Answer: 384 fluid ounces

Step-by-step explanation:

First and foremost, when converting gallons to ounces, the conversion rate is:

1 gallon = 128 ounces

Therefore, since Trevor's mom bought 3 gallons of fruit juice, to convert it to to ounces, we have to multiply by 128. This will then be:

1 gallon = 128 ounces

3 gallons = 128 ounces × 3

= 384 fluid ounces of fruit juice.

A2. Sarah and her friends went to jewelry store to buy matching bracelets. If they bought a
total of 7 bracelets that cost d dollars each and paid a total of $84, write and solve an
equation to represent how much one of the bracelets cost.

Answers

7d=84 so d=12 because you have to divide 7 from 84 to see how much each bracelet cost lol

A company finds that if it charges x dollars for a cell phone, it can expect to sell 1,000−2x phones. The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each. At what price should the company sell their phones to get the maximum revenue?

Answers

Answer:

$500 will give the company the maximum revenue

Step-by-step explanation:

Given

[tex]r(x) = x (1000 - 2x)[/tex]

Required

Price to generate maximum revenue

We have:

[tex]r(x) = x (1000 - 2x)[/tex]

Open bracket

[tex]r(x) = 1000x - 2x^2[/tex]

Rewrite as:

[tex]r(x) = - 2x^2 + 1000x[/tex]

The maximum value of x is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

Where:

[tex]f(x) = ax^2 + bx + c[/tex]

So:

[tex]a \to -2[/tex]

[tex]b = 1000[/tex]

[tex]c = 0[/tex]

[tex]x = -\frac{b}{2a}[/tex]

[tex]x = -\frac{1000}{-2}[/tex]

[tex]x = \frac{1000}{2}[/tex]

[tex]x = 500[/tex]

HELP PLEASE



i cant tell wither its c or d cause im an idiot

Answers

Answer:

it is b

Step-by-step explanation:

see steps below:)

Express the solution graphically of – }(2x + 1) < 3.

Answers

Answer:

The third one counting from the top.

Step-by-step explanation:

We have the inequality:

(-1/3)*(2x + 1) < 3

The first thing we need to do is isolate x on one side of the inequality.

First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:

(-3)*(-1/3)*(2x + 1) > 3*(-3)

(2x + 1) > -9

Now we can subtract 1 in both sides:

2*x + 1 - 1 > -9 - 1

2*x > -10

Now we can divide by 2 in both sides:

2*x/2 > -10/2

x > -5

Then we should see a number line such that all the points at the right of -5 are colored.

The correct option is the third one, counting from the top.

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