Question

the isosceles triangle has a base that measures 14 units. the value of y, the length of each leg, must be equal to 7. between 7 and 14. greater than 7. between 14 and 28.

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 sides \(y\), \(y\), and \(14\), we have \(y + y>14\) (sum of the two equal sides \(y\) must be greater than the base).

Step2: Solve the inequality

Simplify \(y + y>14\) to \(2y>14\). Divide both sides of the inequality by \(2\): \(\frac{2y}{2}>\frac{14}{2}\), which gives \(y > 7\).

Answer:

C. greater than 7.