Problem 56 of 7
Derive the 45-45-90 ratio from an isosceles right triangle with legs both 1/2.
Hints
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use Pythagorean Theorem.
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Derivation must use the Pythagorean Theorem on equal legs.
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Solution
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1. Set both legs equal.
2. Apply a^2+b^2=c^2.
3. Simplify c=sqrt(2x^2)=x sqrt(2).
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Simply memorizing the ratio without derivation when derivation is requested.