SOLUTION: The ratio of one side of triangle ABC to the corresponding side of similar to triagle DEF is 3:5. The perimeter of triangle DEF is 48 inches. What is the perimeter of triangle ABC?

Algebra ->  Triangles -> SOLUTION: The ratio of one side of triangle ABC to the corresponding side of similar to triagle DEF is 3:5. The perimeter of triangle DEF is 48 inches. What is the perimeter of triangle ABC?      Log On


   



Question 271179: The ratio of one side of triangle ABC to the corresponding side of similar to triagle DEF is 3:5. The perimeter of triangle DEF is 48 inches. What is the perimeter of triangle ABC?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Since they are similar triangles, the ratio of any side of ABC to
the corresponding side of DEF is the same. 

Let the sides of ABC be a,b, and c.
Let the sides of DEF be d,e, and f,

Perimeter of ABC = a+b+c
Perimeter of DEF = d+e+f, given = 48

Then 

a%2Fd=3%2F5, b%2Fe=3%2F5, and c%2Ff=3%2F5

a=%283%2F5%29d, b=%283%2F5%29e, and c=%283%2F5%29f

So



Edwin