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.

Answer 1

y is greater then 7

Explanation:

Answer 2

1.The isosceles triangle has sides of length 14, y, y

2. According to the "triangle inequality" :

y+y>14
2y>14
y>14/2=7

(y is greater than 7)

3. Remark, check the figures:

the side lengths cannot be less than (neither equal to 7), because we cannot get a triangle in that case, check picture 2

In picture 1 wee see that the side lengths can be as large as we want. We can erect an altitude, as high as we want. Pick a point on the altitude, and join it to the endpoints of the base, and we get an isosceles triangle with base equal to 14.