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Jarod, Ben, and Mitch want to set up a triangluar garden. Jarod and Ben are holding one board that is 15 inches long. Ben and Mitch are holding a board that is 10 inches long. What are the possible lengths for the board that Mitch and Jarod will be holding?
ANSWER CHOICES
10 < x < 15
5 < x < 25
5 < x < 20
0 < x < 15

Respuesta :

Let the points where Jarod, Ben, and Mitch are standing be J, B and M.

Then JBM is a triangle and |JB|=15 in, |BM|=10 in, let |MJ|=x.

then, according to the Triangle inequality, the third side must be smaller than the sum, and larger than the difference of the other 2:

15-10<x<15+10

5<x<25


Answer: 5 < x < 25

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