Problem 72 of 7
Derive the 30-60-90 ratio from an equilateral triangle with side length 20.
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split equilateral triangle and use Pythagorean Theorem.
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Derivation must split an equilateral triangle into two congruent 30-60-90 triangles.
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Walkthrough
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1. Drop an altitude in an equilateral triangle.
2. Identify the half-side as the short leg and the original side as hypotenuse.
3. Use Pythagorean theorem to get the long leg.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming the long leg equals the short leg.