The three sides of a triangle are in the ratio

MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

The three sides of a triangle are in the ratio 3:4:53:4:5. Its area is 54 cm254\text{ cm}^2. (i) Determine the common factor of proportionality and hence the actual lengths of the three sides. (ii) Calculate the perimeter of the triangle.

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