Prove that, when two triangles are similar , the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides. ( note - take the names of triangle DEF and XYZ .)
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Now you can compare the ratio of the areas of these similar triangles. This leads to the following theorem: Theorem 61: If two similar triangles have a scale factor of a : b, then the ratio of their areas is a2 : b2. Example 2: In Figure 4 , Δ PQR∼ Δ STU
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