Blanking on how medians in a triangle work

Blanking On How Medians In A Triangle Work

Answers

Answer 1

A median cuts a leg of a triangle in half. So for instance, PF being a median means that DP and PE are congruent and have the same length. Consequently, each component triangle (that is, ∆DPC, ∆EPC, ∆EQC, etc) all have the same area.

If A is the area of ∆PCE, then the area of ∆PFE is 3A.

Take PF = 24 to be the base of ∆PFE, and take PC to be the base of ∆PCE. The area of any triangle is equal to 1/2 times the base times the height. But ∆PFE and ∆PCE share the same height (you can see this by dropping an altitude from the vertex E down to the line containing PF), so PC is 1/3 the length of PF, so FC must be 2/3 the length of PF.

So FC has length 2/3 × 24 = 16.


Related Questions

Sec x -tan x sin x =1/secx

Help me prove it

Answers

Answer:

L.H.S. = [tex]\frac{1}{cosx} -\frac{sinx}{cosx}sinx[/tex]

= [tex]\frac{1}{cosx} - \frac{sin^2x}{cosx}[/tex]

= [tex]\frac{1-sin^x}{cosx} = \frac{cos^2x}{cos x}[/tex]

= cos x = 1/secx

Step-by-step explanation:

Hey there!

Given;

sec x - tan x . sin x = 1/(sec x).

~ Taking LHS.

= sec x - tan x . sin x

= 1/(cos x) - (sin x/cos x) . sin x { Using formula sec x = 1/cos x and tan x = (sin x/cos x)}

~ Multiply (sin x) and (sin x).

[tex] = \frac{1 - { (\sin(x) )}^{2} }{ \cos(x) } [/tex]

~ Use formula 1-sin²x= cos²x

[tex] = \frac{ {cos}^{2} x}{ \cos(x) } [/tex]

~ Cancel cos x.

= cos x

= 1/sec x { cos x = 1/sec x}

→ RHS proved.

Hope it helps.....

helppppp kkkasnnansnejsjs

Answers

Answer: “6b”

Step-by-step explanation:

Expression:
3b+6

I hope this helps mate

If the simple interest on $2,000 for 7 years is $840, then what is the interest rate?

Answers

Answer:

Step-by-step explanation:

7 years times 12 months = 70,560.00

Interest rates paid is/= 68,560.00

3% principal

97% interest

How are (5.3,1) and (-5.3,1) related?

Answers

Answer:

i think because theyre like terms, im not sure tho

The wingspan is 8 inches on a plane. The wingspan of the actual airplane
is how many inches? What is the wingspan of the actual airplane in
feet?

Answers

Do I have a picture that goes with it probably it would help

Ms. Ringer asked her class, "What are the favorite colors of the students in our school?" Which student correctly describes Ms. Ringer's question?

Answers

Answer:

D

Step-by-step explanation: We know it's not A or B because a statistical question is a question that will vary. D has that exact response while C is not exactly what a statistical question is.

The student who correctly describes Ms. Ringer's question would say that it is an open-ended question.

What is an expression?

A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. A word or phrase is preceded by a coefficient.

Ms. Ringer asked her class, "What are the favorite colors of the students in our school?"

The student who correctly describes Ms. Ringer's question would say that it is an open-ended question,

as there are many possible answers to the question and it does not have a single, definitive answer.

To learn more about the expression;

brainly.com/question/24242989

#SPJ2

Complete each ratio table.

Answers

Answer:

I only, know one of them....

Step-by-step explanation:

Please help me solve this !:)
Explain your answer

I will give braisnlt .

Answers

Answer:

A a rotation 180 degrees about the origin seems right

Answer:

B

Step-by-step explanation: Too easy to explain

Pls I need help with 2 I’m begging I been stuck on it for a while pls have a good day pls I need help

Answers

Answer:

F

Step-by-step explanation:

You add 4.5 pages for every 1 minute, this is constant.

Can zeros be written at the end of a decimal without changing the number that it represents?

Answers

Answer: yes, zeroes are simply just a place holder to make the number easier to read

Step-by-step explanation:

Yes they can. Zeros can be written at the end of a decimal. They work as a place holder.
Example:
0.4 is the same as 0.40

Simplify the following expression:

3b+5-9b-9+6b

Answers

Answer:

3(3+2b)

or

2b +9

Step-by-step explanation:

Answer:

Step-by-step explanation:

3b+5-9b-9+6b

=3b+6b-9b+5-9=-4

Select the equation where x = 6 is a solution.


A.6x = 66
B.6x = 1
C.7x + 2 = 15
D.5x = 30

Answers

Answer: D 5x=30

Step-by-step explanation

You just substitute 6 into the equations to see if they make the equation true.

Answer:

[tex]5x = 30 \: when \: x = 6[/tex]

D. 5x=30 is the right answer.

Given a line with a slope of 8 and a y-intercept of (0,-7), write the equation
of the line.

Answers

Answer:

y=8x-7

Step-by-step explanation:

please help! please show work ​

Answers

Divide 2 by -8.
X >= -0.25 (you flip the sign because of the negative)

Answer:

-8x ≤ 2divide both sides by -8 (if you dividing inequalities with negative values.. you have to flip the sign when writing the answer  ) x ≥ -0.25your answer is (D)

giving branliest, 7th grade math

Answers

Answer:

1/3

Step-by-step explanation:

Total number of outcomes = 3

Possible outcomes = 1

probability = possible outcomes/ total number of outcomes = 1/3

HOPE THIS HELPS YOU

Answer:

1/3

............................

a six sided cube is rolled. find the probability of P (4) as a decimal

Answers

Answer:

.66

Step-by-step explanation:

What’s 6 divided by 3/5

Answers

Answer:

The answer to the question provided is 10.

please anwser this for me!!

Answers

Answer:

No

Step-by-step explanation:

The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.

A function cannot have two y-values assigned to one x-values.

Please help again!!!!!!!!

Answers

Answer:

94.077=90+4+0.07+0.007

Step-by-step explanation:

I hope this answered your question

Answer:

a) 94.077= 90+ 4+ 0.07 + 0.007

Step-by-step explanation:

I hope it helps you ❤❤

Is 4/5 greater than 9/19

Answers

Yes. I just did this question on a test actually

All of the following expressions have the same value except _____.
A. -16 ÷ -2
B. (-2)(4)
C. -16 ÷ 2
4. (2)(-4)

Answers

Step-by-step explanation:

A.-16÷-2

......................

Can someone help me please? How do I solve this?

Answers

Answer:

i suggest look up a number chart similar to that and place the (4,4) on it

Step-by-step explanation:

im sorry if i couldnt help

Answer:

m is the slope, so it has a slope of 1. it gave you a point so it wants you to plug the point and slope into point-slope form and then solve for the equation to be in slope-intercept form so you can graph it.

point-slope form is: y -y1 = m(x -x1)

plug in the given values and solve

y - 4 = 1(x -4) (use the distributive property to get rid of the parenthesis)

y -4 = 1x - 4 (add 4 to both sides to isolate y)

y = 1x  (1x is the same as x, so it's redundant to write 1x)

y= x (this is the equation of the line)

if you don't know how to graph y=x, whatever the y value is, the y value is. it's a straight line going through the origin.

Step-by-step explanation:

i hope this helped :)

It is not possible to divide 22 by 0 because there is no you can ______ by 0 and get 22.

A. multiply
B. add
C. subtract
D. divide

Answers

Answer:

divide

Step-by-step explanation:

divide

..........................

Answer:

its A.multiply

Step-by-step explanation:

if you cannot divide than you cannot multiply


PLEASE HELP ASAP WORTH A LOT OF MY GRADE

Answers

Answer:

D

Step-by-step explanation:

Im almost positive its d because for triangles you multiply by radical two for when its 45 degrees then the side for the one part of the triangle would be 26 radical 2 multiplied by 39 to get 1397.243 then you double that to get d

Divide. Write your answer in scientific notation.
8 103
2 x 103

Answers

Answer: = 8.346296 × 106

Step-by-step explanation:

A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?

Answers

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house

1.
(04.01 LC) WILL GIVE BRAINLIEST

Which of the sets of ordered pairs represents a function? (5 points)

A = {(1, −5), (8, −5), (8, 7), (2, 9)}
B = {(7, −4), (7, −2), (6, −3), (−9, 5)}

Only A
Only B
Both A and B
Neither A nor B

Answers

Neither A nor B because there is repetition of X values

Answer:

Neither

Step-by-step explanation:

I just took the quiz.

What is the simplified form of (3\4)exponet3 ? Enter your answer as a fraction by filling in the boxes.

Answers

Answer:

Calculator to simplify complex fractions; fractions that have numerators and denominators, each of which are a mixed number, fraction, or integer. Solutions are given to solve the complex fraction by LCD multiplication or as Enter Mixed Numbers, Fractions or Integers  Reduce fractions where possible163−615=163−25.

Step-by-step explanation:

Help! ILL GIVE 20 + POINTS!!

For each sentence, drag a word that will make the statement true.
Words may be used once or more than once.

sometimes always never
Equilateral triangles are
acute triangles.

Scalene triangles are
acute triangles.

Right triangles are
acute triangles.

Obtuse triangles are
isosceles triangles.

Answers

Answer:

Below

Step-by-step explanation:

Always

Sometimes

Never

Always

Answer:

always,sometimes,never,always

Step-by-step explanation:

Equilateral triangles are  

always

acute triangles. Yes, because acute is always 60 degrees, and equilateral is basically your average triangle, so its corners have 60 degrees.

Scalene triangles are  

sometimes

acute triangles.      Scalene triangles always dont have that sharp corner..they sometimes do, the sharp turn which is 60 degrees, ACUTE IS ALWAYS 60 DEGREES.

Right triangles are  

never

acute triangles. A right angle cant be a acute, not 60 degrees..

Obtuse triangles are  

always  

isosceles triangles.  Isosceles means atleast 2 of the sides look the same, i included how to recognize obtuse, right,etc

Can somebody do this for me

Answers

Answer:

no

Step-by-step explanation:

1. because 2. i 3. said 4. so

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