Question

determining possible side lengths
mr. anderson is building a triangular - shaped roof for his shed. the triangle must be isosceles with its base (noncongruent) side measuring 14 feet. the length of one of the congruent legs must be greater than what value?
x > feet

Explanation:

Step1: Apply triangle - inequality theorem

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. For an isosceles triangle with congruent sides of length $x$ and base of length 14, we have $x + x>14$.

Step2: Solve the inequality

Simplify the inequality $2x>14$. Divide both sides of the inequality by 2: $\frac{2x}{2}>\frac{14}{2}$.

Answer:

$x > 7$ feet