Question

the right triangle below is dilated by a scale factor of $\frac{1}{2}$. find the perimeter of the dilated right triangle. figures are not necessarily drawn to scale.

Explanation:

Step1: Find the original perimeter

First, calculate the perimeter of the original right triangle by adding its three sides. The sides are 8, 15, and 17.
Perimeter of original triangle = \( 8 + 15 + 17 \)
\( = 40 \)

Step2: Apply the scale factor to the perimeter

When a figure is dilated by a scale factor, the perimeter of the dilated figure is the original perimeter multiplied by the scale factor. The scale factor here is \( \frac{1}{2} \).
Perimeter of dilated triangle = \( 40 \times \frac{1}{2} \)
\( = 20 \)

Answer:

20