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# The vertices of right triangle ABC are A(−1, 2), B(3, 2), and C(3, 7). The triangle is dilated with a scale factor of

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The vertices of right triangle ABC are A(−1, 2), B(3, 2), and C(3, 7). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number.  The perimeter of the dilated figure is about       units?

Mar 30, 2020

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When a shape is dilated, all of its side lengths are multiplied by the scale factor.

Original:

AB= 4

BC = 5

AC = $$\sqrt{41}$$

Dilated:

AB = 8

BC = 10

AC = $$2\sqrt{41}$$

Perimeter of dilated: 8 + 10 + $$2\sqrt{41}$$ = 30.8062484748656974 = 31 units

Mar 30, 2020