SOLUTION: the lengths of the sides of a triangle are 3, 5, and 7. if the length of the longest side of a similar triangle is 21, find the perimeter of the larger triangle.

Algebra ->  Triangles -> SOLUTION: the lengths of the sides of a triangle are 3, 5, and 7. if the length of the longest side of a similar triangle is 21, find the perimeter of the larger triangle.       Log On


   



Question 1034324: the lengths of the sides of a triangle are 3, 5, and 7. if the length of the longest side of a similar triangle is 21, find the perimeter of the larger triangle.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If 3:5:7 is the ratio of the 3 smaller sides, then
9:15:21 is the ratio of the larger. Notice how each is three times as long.
Thus the perimeter of the larger is
P = 9 + 15 + 21 = 45