Question

leg 7, hypotenuse 25, leg 24

Suppose the triangle in the diagram was dilated using a scale factor of 2. What is the perimeter of the dilated triangle?

(1 point)
Responses

112 cm
112 cm

28 cm
28 cm

56 cm
56 cm

168 cm
168 cm

Answer 1

First, let's find the perimeter of the original triangle.

You mentioned the lengths of the legs of the triangle: one leg is 7, the other leg is 24, and the hypotenuse is 25.

To find the perimeter of the original triangle, we simply add the lengths of all three sides:

\[
\text{Perimeter} = 7 + 24 + 25 = 56 \text{ cm}
\]

Now, if the triangle is dilated using a scale factor of 2, all sides will be multiplied by 2:

\[
\text{Dilated perimeter} = 2 \times 56 = 112 \text{ cm}
\]

Therefore, the perimeter of the dilated triangle is **112 cm**.