the ratio of the heights of two similar triangles is 6:5 if the perimeter of the larger triangle is 49.2 feet. find the perimiter of the smaller triangle

41 feet

Step-by-step explanation:

We apply the theorem below:

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

Let x be the perimeter of the smaller triangle

If the ratio of their heights is 6:5 and the perimeter of the larger triangle is 49.2 feet,

6:5=49.2:x

6/5=49.2/x

Cross multiplying

6x=49.2 X 5

6x=246

x=246/6=41

The perimeter of the smaller triangle is 41 feet