Right Triangles and Trigonometry

SAT Math· difficulty 3/5

The hypotenuse of a 45-45-90 triangle has length 8sqrt28\\sqrt{2}. What is the length of each leg?

  • A

    16

  • B

    4

  • C

    828\sqrt{2}

  • D

    8

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Explanation

In a 45-45-90 triangle, hypotenuse == leg cdotsqrt2\\cdot \\sqrt{2}. So leg =frac8sqrt2sqrt2=8= \\frac{8\\sqrt{2}}{\\sqrt{2}} = 8.

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