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    NationalHardGeometry7–9

    Scale Factors & Similarity

    Fatores de Escala e Semelhança

    Two similar triangles have areas of 50 cm250 \text{ cm}^{2} and 200 cm2200 \text{ cm}^{2}. If the smallest side of the smaller triangle is 55 cm, find the corresponding side of the larger triangle.

    The ratio of areas =(scale factor)2= (\text{scale factor})^{2}. Find the scale factor first.

    Solution

    Step 1 of 3

    1. 1.Area ratio =20050=4= \dfrac{200}{50} = 4