Question

find the area of Rhombus whose side is 6.5 cm and altitude is 5 cm if one of its diagonal is 13 cm long find the length of other diagonal

Answer 1

area of rhombus = Base × Height
= 6.5cm × 5cm
=. 32.5cm sq unit
Other diagonal of rhombus
area of rhombus = 1/2× D1×D2

32.5 cm square = 1/2×13cm ×d2

Answer 2

Since,a rhombus is also a kind of a parallelogram.

Formula of area of rhombus =Base×Altitude

Putting values, we have

Area of rhombus =6.5×5=32.5

Since, Area of rhombus is 32.5 cm².

Also,formula for area of rhombus =$\frac{1}{2}×d_1d_2$

Given,Length of one diagonal =$d_1$=13

Let length of other diagonal =$d_2$

After substituting the values, we get

$32.5=\frac{1}{2}×13×d_2$

$32.5=6.5×d_2$

$6.5×d_2=32.5$

$d_2=\frac{32.5}{6.5}$

$d_2=5$

Hence, length of other diagonal is 5 cm.