Question

Find the area of rhombus whose side is 5cm and whose altitude is 4.8 cm. If one of its diagonal is 8 cm long. Find the length of other diagonal

Answer 1

side=5cm
altitude= 4.8cm
area= side × altitude
= 4.8 × 5
= 24cm

area= 1\2 × d1 × d2
24 = 1\2×8×d2
24 =4 × d2
6 = d2
or
d2 = 6cm

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 =5×4.8=24

Since, Area of rhombus is 24 cm².

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

Given,Length of one diagonal =$d_1$=8

Let length of other diagonal =$d_2$

After substituting the values, we get

$24=\frac{1}{2}×8×d_2$

$24=4×d_2$

$4×d_2=24$

$d_2=\frac{24}{4}$

$d_2=6$

Hence, length of other diagonal is 6 cm.