SOLUTION: The perimeter of an isosceles triangle is 36 cm and the area is 60 cm squared. The length of the base is 3 cm less than the length of a leg. Find the length of each side.

Algebra ->  Triangles -> SOLUTION: The perimeter of an isosceles triangle is 36 cm and the area is 60 cm squared. The length of the base is 3 cm less than the length of a leg. Find the length of each side.      Log On


   



Question 346716: The perimeter of an isosceles triangle is 36 cm and the area is 60 cm squared. The length of the base is 3 cm less than the length of a leg. Find the length of each side.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Isoseles triangle has two equal sides.
Find the lengths of all sides: Let x represent to length of each of the legs.
The question states the following to be true about the perimeter:
%28x-3%29+%2B+x+%2Bx+=36cm (x-3) being the length of the base.
.
3x-3+=+36cm
3x=+39cm
x+=+13cm Base = (x-3) Base is 10cm, the other two sides are each 13 cm.