Question

find the area of a rhombus whose side is 6.5cm and altitude is 5cm.If one of its diagonal is 13 cm long, find the length of other diagonal.

Answer 1

use the formula= 1/2 × d1 ×d2

Answer 2

Area of the Rhombus=
$b \times h \\ 6.5 \times 5 \\ = 32.5$
So we get that area of the Rhombus is 32.5 cm²

Now using the formula of Rhombus
$= \frac{1}{2} {d}^{1} \times {d}^{2}$
$32.5 = \frac{1}{2} 13 \times {d}^{2} \\ 65 = 13 \times {d}^{2} \\ \frac{65}{13} = {d}^{2} \\ {d}^{2} = 5$
So the length of the other diagonal is 5cm