Question

Suppose you dilate a triangle using a scale factor of 1.5, with the side lengths of the triangle measuring 7, 12, and 9 inches. What is the perimeter of the dilated triangle?(1 point)
inches

Answer 1

To find the perimeter of the dilated triangle, first calculate the new side lengths after applying the scale factor of 1.5.

Given the original side lengths:
- Side 1: 7 inches
- Side 2: 12 inches
- Side 3: 9 inches

Now apply the scale factor of 1.5 to each side length:
- New Side 1: \( 7 \times 1.5 = 10.5 \) inches
- New Side 2: \( 12 \times 1.5 = 18 \) inches
- New Side 3: \( 9 \times 1.5 = 13.5 \) inches

Next, calculate the perimeter of the dilated triangle by adding the new side lengths:
\[
\text{Perimeter} = 10.5 + 18 + 13.5
\]

Calculating step-by-step:
- \( 10.5 + 18 = 28.5 \)
- \( 28.5 + 13.5 = 42 \)

Thus, the perimeter of the dilated triangle is **42 inches**.