Answer:
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
