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.

Question

Mathematics

Zion Singleton

14 November, 10:03

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.

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Answers (1)

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Amara Nicholson · Answer 1

0" < DF < 24"

Step-by-step 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"