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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

Triangles ABC and DEF are similar with ratio 5:75:7. The perimeter of ABC is 25. What is the perimeter of DEF?

  • A

    1257\frac{125}{7}

  • B

    32

  • C

    49

  • D

    35

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Explanation

Perimeters scale with the same ratio as the sides: fracPDEF25=frac75\\frac{P_{DEF}}{25} = \\frac{7}{5}, so PDEF=35P_{DEF} = 35.

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