SOLUTION: The lengths of the sides of a triangle are 8,15,17. If the longest side of a similar triangle is 51,what is the length of the shortest side ?

Algebra ->  Triangles -> SOLUTION: The lengths of the sides of a triangle are 8,15,17. If the longest side of a similar triangle is 51,what is the length of the shortest side ?      Log On


   

Question 960132: The lengths of the sides of a triangle are 8,15,17. If the longest side of a similar triangle is 51,what is the length of the shortest side ?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if the triangles are similar, then the lengths of the corresponding sides are proportional.

this means they all have the same ratio.

the ratio of the longest side of the larger triangle to the smaller triangle is 51/17 = 3.

the length of the shortest side of the larger triangle is 8 * 3 = 24.