The ratio of areas of two triangles with the same altitude is equal to the ratio of their bases

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How can we prove that the ratio of areas of two triangles of equal altitudes is equal to the ratio of their bases?

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Very easily:

$$\frac{A_1}{A_2}=\frac{b_1h/2}{b_2h/2}=\frac{b_1}{b_2}$$