Does the triangle inequality theorem apply to all equilateral triangles?

Answers

Answer 1
Yes, the Triangle Inequality Theorem applies to ALL triangles, including equilateral triangles.

The Triangle Inequality Theorem states that the sum of two sides must be greater than or equal to the length of the third remaining side. Let’s see an example:

Given an equilateral triangle with side measures: a, a, a. Let’s apply the Triangle Inequality Theorem:

a+a≥a

2a≥a

Let a be any side length. Let’s have a=5

2(5)≥5

10≥5.

So, we have just shown that this theorem is true for an equilateral triangle.


Related Questions

What is the value of x?

Answers

Answer:

Step-by-step explanation:

2x + 12 + x + 1 + x+ 4

2x + x + x = 4x

12 + 1 + 4 = 17

Please help with #6 and #15. Thank you!

Answers

Answer:

its s and d

Step-by-step explanation:

Find the area of the shape

Answers

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

in one town there are 240 boys and 260 girls who play sports of these 1/5 plays soccer. how many kids play soccer in all Hi there

Answers

Answer:

100 kids.

Step-by-step explanation:

First you add 240+260=500

Then you take 1/5 of 500 which is 100.

Hope this helps!

Whoever helps me will have a good day and maybe get kissed by your crush

Answers

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

16 sry i’m i’m wrong btw

HELP ME ASAP!!!!!!!!!

See pic attached.

WHOEVER GETS IT RIGHT, PLEASE FRIEND REQUEST ME AND I'LL ACCEPT ALSO PLUS YOU WILL GET BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT!

Good Luck!

Answers

Answer:

the cheapest cost would be to buy the large pack as there's a 25% discount resulting in tim only having to pay 38.25 rather than 60 for the small pack

Step-by-step explanation:

What is the explicit rule for the arithmetic sequence shown in the graph?

Answers

Answer:

a(n) = 9.5 + 2(n - 1)

Step-by-step explanation:

Observe that each new term is obtained by adding 2 to the previous term.  Thus, the common difference is 2 and the first term is 9.5.

Then a(n) = 9.5 + 2(n - 1)

What is the measure of the unstable Angle of the triangle below?
Options:
A- 90
B- 82
C- 98

Answers

The best answer to go with is b

Help, please! I need to get this done. :(

Answers

Answer:

saw this question on egde its b

which pair of polygons is similar

Answers

Answer:

Step-by-step explanation:

c. trust me im right

Graph a line with a slope of -3 that contains the point (4, -2).

(Just tell me where to put the points please)​

Answers

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

Can someone please help me on this ????

Answers

Answer:

x = 5

Step-by-step explanation:

Also in this case we can use the Pythagorean theorem in this way

x^2 + (5√3)^2 = 10^2

x^2 + 75 = 100

x^2 = 25

x = +/- 5

we take only the positive value because a lenght can’t be negative

x = 5

3/10 = N/10

Find the missing value to write an equivalent fraction.

Multiply the numerator and denominator by
.

The missing numerator is
.

Answers

Answer:

3 = N

Step-by-step explanation:

Multiply the numerator and denominator by 10:

10(3/10) = 10(N/10) becomes 3 = N

Which pair of angles must be supplementary?
1 and 5
5 and 3
4 and 5
4 and 1

Answers

Answer:

can you post with pictures, because I can't help you without the image of the question

I need help pls:(((((((((((((((((

Answers

Answer:

108

Step-by-step explanation:

We first must find the total per year of every family.

Remember... there are 12 months in a year

Wilson: 18 × 12 = 216

Kumar: 16 × 12 = 192

Lopez: 27 × 12 = 324

Anders: 14 × 12 = 168

Johnson: 15 × 12 = 180

The Lopez family borrows the most. (324 books)

The Wilson family borrows the second most. (216 books)

324 - 216 = 108

Please help me out 5 points the first person

Answers

Answer:

(6,5) is an ordered pair to this question.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

1st we have to go right to the origin 6

x=6

then up to 5

y=5

According to the question,

coordinate

=(x,y)=(6,5)

How many feet are in 32 yards?

384 feet

320 feet

96 feet

35 feet

Answers

Answer:

96 feet

Step-by-step explanation:

Answer:

32 yards is equal to 96 feet. Hope this helped!! :D

hello i need help fast​

Answers

Answer:

486

Step-by-step explanation:

HELP
PLEASEEEEEEEEeeeee

Answers

Answer:

A

Step-by-step explanation:

1/2f

Please help with this

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Step 1 :-

18.12+ 93.3 111.42

Step 2 :-

111.42 - 16.7 94.72

Hope it helps!

Follow me! ;)

The table below shows the low temperature in a town each day for four days. Which of the following lists the temperatures in order
from least to greatest?

Answers

Answer: 1,-3,5,-8

Step-by-step explanation: I have the same questions

Find the value of x.

Answers

Answer:

e

Step-by-step explanation:

25 POINTS
On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm, m∠A=80°, and m∠B=50°.

What is AC?

Answers

Answer:

6

Step-by-step explanation:

If you try to draw the triangle, it forms an isosceles triangle.

side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.

Answer:

6cm

Step-by-step explanation:

please helpppppppppppppp

Answers

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

Please hurry it’s 50 seconds left

Answers

Answer:

[tex]50^{o}[/tex]

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Add 40 degrees to the 90 degrees and that will become 130 and all triangles add up to 180 so subtract 130 from 180 and you'll be left with 50

The graphs of which of these pairs of linear equations intersect at the point (-3, 2)? Select all that apply.
A 6x - y = 15
-3x + 4y = -18
B. 2x + y = -4
3x + 2y = -5
C. X + 8y = 19
4x - 5y = 2
D. 8x + y = 22
-2x - 5y=4
E5x - y = -17
x + 4y = 5

Answers

Answer:

Options B and E.

Step-by-step explanation:

We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).

The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.

Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.

A)

6x - y = 15

-3x + 4y = -18

In the first equation we have:

6*(-3) - (2) = 15

-18 - 2 = 15

-20 = 15

This is false, so we can discard option A.

B)

2x + y = -4

3x + 2y = -5

In the first equation we have:

2*(-3) + 2 = -4

-6 + 2 = -4

-4 = - 4  

This is true, now let's look at the other equation.

3*(-3) + 2*(2) = -5

-9 + 4 = -5

-5 = - 5

This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.

C)

x + 8y = 19

4x - 5y = 2

In the first equation we have:

(-3) + 8*(2) = 19

-3 + 16 = 19

13 = 19

This is false, then we can discard option C.

D)

8x + y = 22

-2x - 5y=4

In the first option we have:

8*(-3) + 2 = 22

-24 + 2 = 22

-22 = 22

This is false, so we can discard option D.

E)

5x - y = -17

x + 4y = 5

In the first option we have:

5*(-3) - (2) = -17

-15 - 2 = -17

-17 = -17

This is true, now let's look at the other equation:

(-3) + 4*(2) = 5

-3 + 8 = 5

5 = 5

This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.

Then the correct options are B and E.

For breakfast, Sarah can choose eggs, granola or oatmeal as a main course, and orange juice or milk for a drink. Sarah says that the sample space for choosing one of each contains 32 = 9 outcomes. What is her error? Explain. Because there are choices for the first item and for the second, there are possible outcomes.

Answers

Answer:

The explanation is given below

Step-by-step explanation:

Her error is that she multiplied the possibilities of her meal that involves eggs with milk, granola & oatmeal but the possibilities involves orange juice with egg and granola & oatmeal

Now

If she choose milk so she can select eggs, granola, and oatmeal so there are 3 possibilities also with the orange juice there is 3 possibilities

So, the sample space is

= 3 + 3

= 6 outcomes  

increase 320g in a ratio 5:2​

Answers

Answer:5/2/320=900

Step-by-step explanation:

Reggie cuts 2 feet from a 9​-foot length of rope. Then he cuts 14 inches from the rope. How many inches of rope are​ left?

Answers

Answer:

He is left with 5 feet and 10 inches.

Which shape has perpendicular diagonals,two pairs of adjacent sides that are congruent,and no parallel sides?

Answers

Answer:

quadrilateral has perpendicular diagonals

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