SOLUTION: The ratio of the areas of two similar triangles is 25:36. What is the ratio of a pair of corresponding sides of these two triangles? Help is greatly appreciated. Thank you.

Algebra ->  Triangles -> SOLUTION: The ratio of the areas of two similar triangles is 25:36. What is the ratio of a pair of corresponding sides of these two triangles? Help is greatly appreciated. Thank you.      Log On


   

Question 612892: The ratio of the areas of two similar triangles is 25:36. What is the ratio of a pair of corresponding sides of these two triangles?
Help is greatly appreciated. Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the ratio of the sides is a/b, then the ratio of the areas is (a^2)/(b^2)

In our case, a^2 = 25, so a = 5. Also, b^2 = 36 which means b = 6

So the ratio of a pair of corresponding sides is 5/6