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, you first need to calculate the side lengths of the new triangle after dilation using the scale factor.

The original side lengths of the triangle are:
- 11 inches
- 9 inches
- 28 inches

Using the scale factor of 13, the new side lengths will be:
- New side 1: \( 11 \times 13 = 143 \) inches
- New side 2: \( 9 \times 13 = 117 \) inches
- New side 3: \( 28 \times 13 = 364 \) inches

Now, add up the new side lengths to find the perimeter of the dilated triangle:
\[
\text{Perimeter} = 143 + 117 + 364 = 624 \text{ inches}
\]

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