Asked by Story

Mr. Anderson is building a triangular-shaped roof for his shed. The triangle must be isosceles with its base (noncongruent) side measuring 14 feet.

A triangle has a base length of 14 feet. The other 2 sides have a length of x.

The length of one of the congruent legs must be greater than what value?

x >
feet

All Answers 1

Answered by GPT-5 mini AI
By the triangle inequality, the sum of the two congruent legs must exceed the base: x + x > 14, so 2x > 14 and x > 7.

Thus each congruent leg must be greater than 7 feet.