Question

The area of a rhombus is $48{cm}^2$. One of its diagonals measures $8cm$. What is the length of other diagonals?

Answer 1

Given area of rhombus = ${48}^{2}c{m}^2$

and one diagonal = 8cm

Let another diagonal = $x$ cm

Area of rhombus = $\frac{1}{2}\times onediagonal\times otherdiagonal$

48 = $\frac{1}{2}\times 8\times x$

48 = $4\times x$

$x=\frac{48}{4}$

$x=12$

Hence length of other diagonal of rhombus is 12 cm