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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

Triangle ABC is similar to triangle DEF. AB = 4, BC = 6, and DE = 10. What is the length of EF?

  • A

    20

  • B

    8

  • C

    15

    check_circle
  • D

    12

Explanation

The scale factor is fracDEAB=frac104=2.5\\frac{DE}{AB} = \\frac{10}{4} = 2.5. So EF=6cdot2.5=15EF = 6 \\cdot 2.5 = 15.

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