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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

In a right triangle, the altitude to the hypotenuse has length 6, and one segment of the hypotenuse is 4. What is the length of the other segment?

  • A

    12

  • B

    10

  • C

    6\sqrt{6}

  • D

    9

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Explanation

Geometric mean: h2=abh^2 = ab, so 36=4cdotb36 = 4 \\cdot b, giving b=9b = 9.

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