Question

What are the possible values for x in the figure?

Answer 1

If a,b,ca,b,c be sides of a triangle then

a+b>ca+b>c

and a−b<ca−b<c

Given sides are 5 and 7 hence

(7−5)<x<(7+5)(7−5)<x<(7+5) or,

2<x<12