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Right Triangles and Trigonometry

SAT Math· difficulty 3/5

In right triangle, angle A=45°A=45° and the hypotenuse is 828\sqrt{2}. What is the length of the leg opposite AA?

  • A

    1616

  • B

    44

  • C

    828\sqrt{2}

  • D

    88

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Explanation

Leg =82⋅sin⁡45°=82⋅22=8=8\sqrt{2}\cdot\sin 45°=8\sqrt{2}\cdot\frac{\sqrt{2}}{2}=8.

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