Question

In the triangle DEF, DE= 10 inches and EF= 14 inches. Write an inequality that describes the possible side lengths of side DF, in inches.

Answer 1

0" < DF < 24"

Explanation:

in any triangle, the side length must be > 0"

DE = 10" and EF = 14"

for DEF to be a triangle, DF must be < DE + EF = 24" because if DF=24" then DEF is a straight line

so ans is 0" < DF < 24"