SOLUTION: the ratio of the 3 side lengths of a triangle is 2 :5 :7. the perimeter of the triangle is 91 cm. what is the length, in cm, of the shortest side of the triangle

Algebra ->  Triangles -> SOLUTION: the ratio of the 3 side lengths of a triangle is 2 :5 :7. the perimeter of the triangle is 91 cm. what is the length, in cm, of the shortest side of the triangle      Log On


   

Question 876524: the ratio of the 3 side lengths of a triangle is 2 :5 :7. the perimeter of the triangle is 91 cm. what is the length, in cm, of the shortest side of the triangle
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Only a degenerate triangle would have sides in the ratio 2:5:7.

Suppose the sides are 2x, 5x, 7x, then 2x+5x+7x = 14x = 91, x = 13/2. Then 2x = 13 cm.