The areas of two similar triangles are 25 cm2 and 36 cm2 respectively. If the altitude of the first triangle is 3.5 cm then the corresponding altitude of the other triangle is ______.

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The areas of two similar triangles are 25 cm2 and 36 cm2 respectively. If the altitude of the first triangle is 3.5 cm then the corresponding altitude of the other triangle is 4.2 cm. Explanation: For similar triangles, linear measures (like altitudes) scale as the square root of the area ratio. Here, sqrt($\frac{36}{25}$) = $\frac{6}{5}$. So, the corresponding altitude = 3.5 $\times$ ($\frac{6}{5}$) = 3.5 $\times$ 1.2 = 4.2 cm

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