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What are the side length ratios for the $30^\circ$-$60^\circ$-$90^\circ$ and $45^\circ$-$45^\circ$-$90^\circ$ special right triangles?

デッキ「Digital SAT Math: Algebra, Advanced Math & Geometry」の単語カード。

解答

For $30^\circ$-$60^\circ$-$90^\circ$: $x : x\sqrt{3} : 2x$ (opposite $30^\circ$ is $x$, opposite $60^\circ$ is $x\sqrt{3}$, hypotenuse is $2x$). For $45^\circ$-$45^\circ$-$90^\circ$: $x : x : x\sqrt{2}$.

解説

These ratios are also provided on the reference sheet at the beginning of each SAT math module, but memorizing them saves valuable test time.

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