Question

HFM & PST
What is the perimeter of HFM
Enter the answer in the box.

Answer 1

50.75 units

Explanation:

In this problem

Triangles HFM and PST are similar

we know that that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

step 1

Find the scale factor

Let

z ----> the scale factor

`z=(HF)/(PS)`

substitute the given values

`z=(14)/(8)=1.75`

step 2

Find the perimeter of triangle PST

`P=8+9+12=29\ units`

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

so

`29(1.75)=50.75\ units`