List of top Mathematics Questions on Similarity of Triangles asked in TS POLYCET

If the ratio of corresponding sides of two similar triangles is \(2:7\), then the ratio of the areas of the triangles is _____.

Reduced and enlarged photographs of an object are _____.

\( \triangle ABC \sim \triangle DEF \) and their areas are respectively \(75 \text{ cm}^2\) and \(48 \text{ cm}^2\). If \(EF = 4 \text{ cm}\), then \(BC = \_\_\_\_\_ \text{ cm}\).

In \( \triangle ABC \), \( DE \parallel BC \), \( \frac{AD}{DB} = \frac{2}{3} \) and \( AC = 2.5 \text{ cm} \), then \( AE = \_\_\_\_\_ \text{ cm}\).

In \( \triangle ABC \), \( DE \parallel AB \), \( AD = x + 1 \), \( CD = x + 3 \), \( BE = x + 4 \) and \( CE = x + 7 \), then the value of \( x \) is _____.