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Home » The areas of two similar triangles are 25 and 36 respectively. If the altitude of the first triangle is 3.5cm, then the corresponding altitude of the other triangle. (a) 5.6cm (b) 6.3cm (c) 4.2cm (d) 7cm
The areas of two similar triangles are 25c{m^2} and 36c{m^2} respectively. If the altitude of the first triangle is 3.5cm, then the corresponding altitude of the other triangle. (a) 5.6cm (b) 6.3cm (c) 4.2cm (d) 7cm
CBSE | Class 10 | Exercise-Formative Assessment | Maths | RS Aggarwal | Triangles
The areas of two similar triangles are 25c{m^2} and 36c{m^2} respectively. If the altitude of the first triangle is 3.5cm, then the corresponding altitude of the other triangle. (a) 5.6cm (b) 6.3cm (c) 4.2cm (d) 7cm

Correct Answer: (c) 4.2cm

Explanation:

The ratio of areas of similar triangles is equal to the ratio of squares of their corresponding altitudes.

Let ɦ be the altitude of the other triangle.

\begin{array}{l} \frac{{25}}{{36}} = \frac{{{{(3.5)}^2}}}{{{h^2}}}\\ {h^2} = \frac{{{{(3.5)}^2} \times 36}}{{25}}\\ {h^2} = 17.64\\ h = 4.2cm \end{array}

 

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