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Shairah Kibler Dilations of a 30-60-90 right triangle

Shairah Kibler\newlineDilations of a 3030−60-60−90-90 right triangle

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Q. Shairah Kibler\newlineDilations of a 3030−60-60−90-90 right triangle
  1. Identify Side Lengths: Identify the side lengths of a 30−60−9030-60-90 triangle. The sides are in the ratio 1:3:21:\sqrt{3}:2.
  2. Assign Lengths to Angles: Let's say the shortest side (opposite the 30∘30^\circ angle) is xx. Then the other sides are x3x\sqrt{3} (opposite the 60∘60^\circ angle) and 2x2x (hypotenuse).
  3. Choose Scale Factor: Choose a scale factor for the dilation. Let's use k=2k=2 as an example.
  4. Multiply by Scale Factor: Multiply each side by the scale factor kk to find the new lengths. New side lengths will be 2x2x, 2x32x\sqrt{3}, and 4x4x.
  5. Check New Side Lengths: Check the new side lengths to ensure they are in the correct ratio. The new sides should still be in the ratio 1:3:21:\sqrt{3}:2.

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