Question

Each side of a rhombus is 13 cm and the length of one diagonal is 24 cm. Find the area of the rhombus.

Answer 1

$\begin{array}{c}Wehave\\ s=13cm\\ d_1=24cm\\ d_2=2\sqrt{{13}^2-{12}^2}\\ =2\sqrt{169-144}\\ =2\sqrt{25}\\ =2\times 5\\ =10\\ areaofrhombus=\frac{1}{2}{d}_1\times d_2\\ =\frac{1}{2}\times 24\times 10\\ =12\times 10\\ =120c{m}^2\end{array}$