Question

The perimeters of two similar right triangles have a ratio of 3 to 5. If the height of the larger triangle is 12 meters, what is the height of the

smaller triangle?

Answer 1

7.2 meters

Explanation:

Similar triangles have linear dimensions that are proportional. The ratio of heights will be the same as the ratio of permeters:

h/(12 m) = 3/5 . . . . . . . small/large

h = (3/5)(12 m) = 7.2 m . . . . . . multiply by 12 m

The height of the smaller triangle is 7.2 meters.