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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

In triangle PQR, PQ = 8, QR = 6. Triangle PQR is similar to triangle XYZ. If XY = 12 (corresponding to PQ), what is the perimeter of XYZ given PR = 10?

  • A

    48

  • B

    24

  • C

    36

    check_circle
  • D

    30

Explanation

Scale factor =12/8=3/2= 12/8 = 3/2. Perimeter of PQR =8+6+10=24= 8+6+10 = 24. Perimeter of XYZ =24cdotfrac32=36= 24 \\cdot \\frac{3}{2} = 36.

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