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Question

Perimeters of two similar triangles are 27 cm and 16 cm. If the length of a side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle

WBBSE Class X Mathematics Similarity 02 Mark 2025

Answer

For similar triangles, the ratio of corresponding sides is equal to the ratio of their perimeters

Thus, corresponding side in the second triangle = 9 × \frac{16}{27}

= \frac{9×16}{27}

= \frac{144}{27}

= \frac{16}{3} cm.

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