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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

Two similar triangles have sides in the ratio 2:32:3. What is the ratio of their areas?

  • A

    4:94:9

    check_circle
  • B

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

  • C

    2:32:3

  • D

    8:278:27

Explanation

For similar figures, the ratio of areas equals the square of the ratio of corresponding sides: (2:3)2=4:9(2:3)^2 = 4:9.

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