SOLUTION: Two isoceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two isoceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if the      Log On


   

Question 71378This question is from textbook
: Two isoceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23cm and 41cm. PLEASE HELPPP !!! This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the 2 equal sides of the smaller triangle x
Call the equal bases y
x+%2B+x+%2B+y+=+23
2x+%2B+2x+%2B+y+=+41
subtract the 1st from the 2nd
2x+=+18
x+=+9
x+%2B+x+%2B+y+=+23
18+%2B+y+=+23
y+=+23+-+18
y+=+5
So, the sides of the smaller are 9, 9, 5
and the larger are 18, 18, 5