Surds - Applications of Surds

Surds - Applications of Surds

IP 3

The lengths of the two shorter sides of a right-angle triangle are \(\left( 2\sqrt{3}+\sqrt{15} \right)\) cm and \(\left( 6\sqrt{3}-2\sqrt{15} \right)\) cm respectively. Find the area of the triangle in the form \(\left( a+b\sqrt{c} \right)\) cm\(^{2}\).

Solution:

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Answer:\((3+3\sqrt5)\text{ cm}^2\)

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