Right Triangles and Trigonometry

SAT Math· difficulty 2/5

In a 45-45-90 triangle, each leg has length 5. What is the length of the hypotenuse?

  • A

    535\sqrt{3}

  • B

    10

  • C

    525\sqrt{2}

    check_circle
  • D

    10\sqrt{10}

Explanation

In a 45-45-90 triangle, the ratio of leg : leg : hypotenuse is 1:1:sqrt21:1:\\sqrt{2}. So hypotenuse =5sqrt2= 5\\sqrt{2}.

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