the isosceles triangle has a base that measures 14 units. the value of y, the length of each leg, must be…

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.

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.

Answer

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. For an isosceles triangle with legs of length (y) and base of length (14), we have (y + y>14).

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:

greater than 7.