SOLUTION: An isoceles triangle has a perimeter of 45cm. Its equal sides each measure 6cm longer than the base. How long is the base of the triangle?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: An isoceles triangle has a perimeter of 45cm. Its equal sides each measure 6cm longer than the base. How long is the base of the triangle?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 149348: An isoceles triangle has a perimeter of 45cm. Its equal sides each measure 6cm longer than the base. How long is the base of the triangle?
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
Let "s"= 2 equal sides, and "b' = base
Since the sides are 6cm longer than the base, "s= b+6"
For the perimeter, we get the measurements of 2 equal sides + the base,
P=+2s+%2B+b+
45cm+=+2%28b%2B6%29+%2B+b
45+=+2b+%2B+12+%2B+b
45+-+12+=+3b
%2833%2F3%29+=+b ----------- > b=+11cm, base of the triangle
FYI, the sides will be s=+11+%2B+6 ----> s=+17+cm, 2 equal sides
To check,
P=+2s+%2B+b
+45cm+=+%282%2A17%29+%2B+11+
45cm+=+34+%2B+11+
45cm+=+45cm
Thank you
Jojo