Similar Figures Math Example 3

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Example 3

easy
Triangle PQR∼PQR \sim Triangle STUSTU. PQ=4PQ = 4, ST=6ST = 6, QR=7QR = 7. Find TUTU.

Solution

  1. 1
    Scale factor: k=STPQ=64=1.5k = \dfrac{ST}{PQ} = \dfrac{6}{4} = 1.5.
  2. 2
    TUTU corresponds to QRQR: TU=7×1.5=10.5TU = 7 \times 1.5 = 10.5.

Answer

TU=10.5TU = 10.5
In similar triangles, corresponding sides are proportional by the same scale factor. Once kk is established from one pair of corresponding sides, multiply any side of the smaller triangle by kk to get the matching side of the larger one.

About Similar Figures

Similar figures have the same shape with corresponding angles equal and corresponding sides proportional.

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More Similar Figures Examples

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Example 4 medium

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