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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

Two similar triangles have areas of 16 and 36. What is the ratio of their corresponding sides?

  • A

    2:3\sqrt{2}:\sqrt{3}

  • B

    16:3616:36

  • C

    4:94:9

  • D

    2:32:3

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Explanation

Ratio of areas =16:36=4:9= 16:36 = 4:9. Ratio of sides is the square root: sqrt4:sqrt9=2:3\\sqrt{4}:\\sqrt{9} = 2:3.

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