Suppose you dilate a triangle using the scale factor of 1/3

Question

. 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 determine the new side lengths by applying the scale factor of \( \frac{1}{3} \).

1. Calculate the new side lengths:

   • First side: \( 11 \times \frac{1}{3} = \frac{11}{3} \)
   • Second side: \( 9 \times \frac{1}{3} = 3 \)
   • Third side: \( 28 \times \frac{1}{3} = \frac{28}{3} \)

2. Now, add the new side lengths to find the perimeter: \[ \text{Perimeter} = \frac{11}{3} + 3 + \frac{28}{3} \]

   To add these, first convert 3 into a fraction with the same denominator (3): \[ 3 = \frac{9}{3} \]

   Now the perimeter calculation is: \[ \text{Perimeter} = \frac{11}{3} + \frac{9}{3} + \frac{28}{3} = \frac{11 + 9 + 28}{3} = \frac{48}{3} = 16 \]

Therefore, the perimeter of the dilated triangle is 16 inches.