Question

Question Suppose you dilate a triangle using the scale factor of 13 . The original side lengths of the triangle measure 11,9 and 28 inches. What is the perimeter of the dilated triangle?(1 point) perimeter = in

Answer 1

To find the perimeter of the dilated triangle, we first need to determine the lengths of the sides after dilation using the scale factor of 13.

The original side lengths of the triangle are:
- Side 1: 11 inches
- Side 2: 9 inches
- Side 3: 28 inches

We will multiply each side length by the scale factor (13) to find the new lengths:

1. New Side 1: \( 11 \times 13 = 143 \) inches
2. New Side 2: \( 9 \times 13 = 117 \) inches
3. New Side 3: \( 28 \times 13 = 364 \) inches

Next, we calculate the perimeter of the dilated triangle by adding the new side lengths together:

\[
\text{Perimeter} = 143 + 117 + 364
\]

Calculating that sum:

\[
143 + 117 = 260
\]
\[
260 + 364 = 624
\]

Thus, the perimeter of the dilated triangle is \( \boxed{624} \) inches.