If triangle VSY is isosceles and its perimeter is less than 45 which side of triangle VSY is the base?

Question

Segment VS=10

Segment SY=2x-8

Segment VY= x+7

Answer 1

The triangle is isosceles, so two of the sides have to be equal.

If VS = SY, then 10 = 2x - 8, and x = 9

This would mean VY = 9 + 7 = 16

and VS + SY + VY = 10 + 10 + 16 = 36 which is less than 45

So, VY is the base