Lines, Angles, and Triangles

SAT Math· difficulty 3/5

A right triangle has hypotenuse 13 and one leg of length 5. What is the length of the other leg?

  • A

    18\sqrt{18}

  • B

    12

    check_circle
  • C

    194\sqrt{194}

  • D

    8

Explanation

52+b2=1325^2 + b^2 = 13^2, so b2=16925=144b^2 = 169 - 25 = 144, giving b=12b = 12. (Pythagorean triple 5-12-13.)

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