25 cm

7 cm
24 cm
Suppose the triangle in the diagram is dilated by a scale factor of 14
. What is the perimeter of the dilated triangle?

(1 point)
cm

1 answer

To find the perimeter of the dilated triangle, we first need to calculate the perimeter of the original triangle and then apply the scale factor.

  1. Calculate the perimeter of the original triangle: The sides of the original triangle are 25 cm, 7 cm, and 24 cm.

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

  2. Dilate the perimeter by the scale factor of 14: The perimeter of the dilated triangle can be found by multiplying the original perimeter by the scale factor.

    \[ \text{Dilated Perimeter} = 56 , \text{cm} \times 14 = 784 , \text{cm} \]

So, the perimeter of the dilated triangle is 784 cm.