Question

Two sides of a triangle have the following measures. Find the range of possible measures for the third side.

12, 8

Answer 1

4 < x < 20

Explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

12 - 8 < x < 12 + 8

4 < x < 20 ← range of values for third side

Answer 2

between 4 and 20......................

The number should be bigger than difference of both sides and smaller than sum of both sides.

So

12+8=20

12-8=4

So it should be 4<x<20

which means between 4 and 20

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