Summer Creek
posted by Heaven .
An isosceles triangle has legs that are each x inches long a base that is y inches long. The perimeter of this triangle is 38 inches. The base is 8 inches shorter than the length of a leg.

2x + y = 38 > y = 382x
the base is 8 inches shorter than the length of a leg
y = x8
x8 = 382x
3x = 46
x = 46/3 inches
then y = 38  92/3 = 22/3 inches
check:
perimeter = 2x+y = 92/3+22/3 = 38
difference between leg and base
= 46/3  22/3 = 8