Question

Find the area of a rhombus whose side is 6 cm and altitude is 4 cm . If one of the diagonal is 8 cm long, then find the length of the other.

Answer 1

$\begin{array}{c}Wehave\\ side=6cm\\ height=4cm\\ Areaofa\parallel gm=base\times height\\ =6\times 4\\ =24c{m}^2\\ Areaofarhombus=\frac{1}{2}\times d_1\times d_2\\ \Rightarrow 24=\frac{1}{2}\times 8\times d_2\\ \Rightarrow d_2=\frac{24\times 2}{8}\\ \therefore d_2=6\\ Hence,otherlengthis6cm.\end{array}$