<p>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$^{2}$.</p>

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$^{2}$.

Surds - Applications of Surds

Surds - Applications of Surds