Question

find the area of Rhombus whose side is 6 CM and altitude is 4 centimetre if one its diagonals is 8 centimetre long find the length of other diagonal​

Answer 1

Answer:

Step-by-step explanation:

As we know another formula for the area of rhombus is 1\2 x diagonal1 x diagonal2

Here Diagonal1 = 4cm

Diagonal2 = 8cm

There 1/2 x 4 x 8 = 16cm^2

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 =6×4=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.