1. The areas of two similar triangles are 20 sq. in. and 45sq. in. If a side of

Question

1. The areas of two similar triangles are 20 sq. in. and 45sq. in. If a side of the smaller triangle measures 4 in., find themeasure of the corresponding side of the larger triangle. 2. The measures of a pair of corresponding sides of twosimilar triangles are 4 ft. and 9 ft. Find the ratio of the area ofthe smaller triangle to the area of the larger triangle. 1. The areas of two similar triangles are 20 sq. in. and 45sq. in. If a side of the smaller triangle measures 4 in., find themeasure of the corresponding side of the larger triangle. 2. The measures of a pair of corresponding sides of twosimilar triangles are 4 ft. and 9 ft. Find the ratio of the area ofthe smaller triangle to the area of the larger triangle.

Explanation / Answer

1. A1 =b1h1/2             A2 =b2h2/2           --->           A1/A2 =(b1/b2)(h1/h2) =(b1/b2)2        The ratio between any two correspondinglines in a triangle is constant.                                                                                 20/45 = (4/b2)2  --->    b2 = 6 in 2. A1/A2 = (4/9)2 =16/36

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