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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

In a right triangle, the altitude to the hypotenuse divides it into segments of length 4 and 9. What is the length of the altitude?

  • A

    13\sqrt{13}

  • B

    6

    check_circle
  • C

    13

  • D

    36\sqrt{36}

Explanation

The altitude to the hypotenuse is the geometric mean of the two segments: h=sqrt4cdot9=6h = \\sqrt{4 \\cdot 9} = 6.

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