Question

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How are the proofs for the side length ratios of 30-60-90 and 45-45-90 triangles similar? How are they different?

Answer 1

They both are 90 degree angles, but 45-45-90 triangles are isosceles and use the square root of 2. 30-60-90 triangles use the square root of 3 and the hypotenuse is double of the remaining side.

Explanation:

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Answer 2

They both are 90 degree angles, but 45-45-90 triangles are isosceles and use the square root of 2. 30-60-90 triangles use the square root of 3 and the hypotenuse is double of the remaining side.