Question

Determine the range of the third side of a triangle given that two sides are 14 inches and 8 inches long

Answer 1

6 < x < 22

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

14 - 8 < x < 14 + 8

6 < x < 22

Answer 2

Let the triangle be ABC

Let AB = 14 and BC = 8

By Pythagoras theorem ,

`AC^2 = AB^2 + BC^2 = 14^2 + 8^2 = 196 +64 = 260\\AC = √(260)\ inches`