SOLUTION: The two equal sides of an isosceles triangle are given as (x+2)cm and the third is (x+6)cm. If the perimeter of the triangle is 385cm, find the value of x.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The two equal sides of an isosceles triangle are given as (x+2)cm and the third is (x+6)cm. If the perimeter of the triangle is 385cm, find the value of x.       Log On


   



Question 1002900: The two equal sides of an isosceles triangle are given as (x+2)cm and the third is (x+6)cm. If the perimeter of the triangle is 385cm, find the value of x.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The two equal sides of an isosceles triangle are given as %28x%2B2%29cm and the third is %28x%2B6%29cm.
so, you have sides a=%28x%2B2%29cm,b=%28x%2B2%29cm, c=%28x%2B6%29cm
if the perimeter of the triangle is 385cm,we have:
since a=%28x%2B2%29cm,b=%28x%2B2%29cm=>a=b and we can use a=2%28x%2B2%29cm
2a%2Bc=385cm
2%28x%2B2%29cm%2B%28x%2B6%29cm=385cm.......cancel cm and solve for x
2x%2B4%2Bx%2B6=385
3x%2B10=385
3x=385-10
3x=375
x=375%2F3
x=125
the value of x is 125