Answer:
15.333 inches
Step-by-step explanation:
First find the value of “y" which is the base and it is 8 inches shorter than the length legs of the triangle.
y = x - 8
Then substitute the values in the formula for the perimeter of an isosceles triangle.
Perimeter = 2 (L) + b
38 = 2 (x) + x - 8
38 = 2x + x - 8
38 = 3x - 8
38 + 8 = 3x
3x = 46
x = 15.333 inches
x is the length of the triangle and it's actual value is 15.333 inches
