Question

A triangle has the following measurements. What is a possible length for the third side?

AB = 4, BC = 17, CA = ?

18

5

10

12

Answer 1

Is this all of the question?

Answer 2

yup. i'm so lost because i thought triangles are suppose to equal 180.

Answer 3

I'm thinking its 18...
Its been forver since i've done this...
4+17 = 21
4-17 = 13
& the number has to be between 13 & 21 if im thinking right... & 18 is the only up there.

does it let you know if its right or wrong?

Answer 4

i have to submit it first.

Answer 5

it was right. thanks!

Answer 6

>yup. i'm so lost because i thought triangles are suppose to equal 180.
180 is the sum of the three interior angles of the triangle.

This problem deals with segments.

Answer 7

Use the Triangle Inequality Theorem:

One side of a triangle is less than the other two but greater than the positive differeence of the other two.

Answer 8

So, (17 - 4) < CA < (4 + 17)

13 < CA < 21

@K-K-K-Kiaa

Answer 9

Yea I figured it out. but thanks.

Answer 10

I saw that you had figured out this problem but wanted to provide the theorem so that you will be empowered to do similar problems. Just saying.