A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to create Triangle A'B'C'.



The side lengths of Triangle ABC are: A = 4ft, B = 3ft, C = 5ft.



What are the lengths of the sides on the new Triangle A'B'C'?

Answers

Answer 1

Applying a dilation with a scale factor of 1/2 to Triangle ABC creates Triangle A'B'C', where the side lengths are halved.


When a dilation is applied to a figure, each side of the original figure is multiplied by the scale factor to determine the corresponding side length in the dilated figure. In this case, a dilation with a scale factor of 1/2 is applied to Triangle ABC.

To find the side lengths of Triangle A'B'C', we multiply each side of Triangle ABC by the scale factor of 1/2.

Side A' = 4ft * 1/2 = 2ft
Side B' = 3ft * 1/2 = 1.5ft
Side C' = 5ft * 1/2 = 2.5ft

Therefore, the lengths of the sides of the new Triangle A'B'C' are: A' = 2ft, B' = 1.5ft, C' = 2.5ft. Each side length is half the length of the corresponding side in Triangle ABC due to the application of the dilation with a scale factor of 1/2.




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