SOLUTION: The base of an isosceles triangle is one-third the length of each equal side. If the perimeter is 105cm, find the length of the base and each equal side.

Algebra ->  Triangles -> SOLUTION: The base of an isosceles triangle is one-third the length of each equal side. If the perimeter is 105cm, find the length of the base and each equal side.       Log On


   



Question 847336: The base of an isosceles triangle is one-third the length of each equal side. If the perimeter is 105cm, find the length of the base and each equal side.
Answer by josgarithmetic(39800) About Me  (Show Source):
You can put this solution on YOUR website!
b for base length, x for either of the two equal sides.
b=%281%2F3%29x
-
b%2B2x=105, the perimeter information.
Substitute for b, %281%2F3%29x%2B2x=105
x%2B6x=315
7x=315
x=45 --------- b=%281%2F3%2945=15