K-K-K-Kiaa 2 years ago A triangle has the following measurements. What is a possible length for the third side? AB = 4, BC = 17, CA = ? 18 5 10 12

1. gjhfdfg

Is this all of the question?

2. K-K-K-Kiaa

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

3. gjhfdfg

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?

4. K-K-K-Kiaa

i have to submit it first.

5. K-K-K-Kiaa

it was right. thanks!

6. Directrix

>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.

7. Directrix

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.

8. Directrix

So, (17 - 4) < CA < (4 + 17) 13 < CA < 21 @K-K-K-Kiaa

9. K-K-K-Kiaa

Yea I figured it out. but thanks.

10. Directrix

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.

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