Question

find the area of a rhombus whose side is 8 cm and who's altitude is 5 cm if one of its diagonal is 10 cm long find the length of other diagonal​

Answer 1

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

Formula of area of rhombus =Base×Altitude

Putting values, we have

Area of rhombus =8×5=40

Since, Area of rhombus is 40 cm².

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

Given,Length of one diagonal =$d_1$=10

Let length of other diagonal =$d_2$

After substituting the values, we get

$40=\frac{1}{2}×10×d_2$

$40=5×d_2$

$5×d_2=40$

$d_2=\frac{40}{5}$

$d_2=8$

Hence, length of other diagonal is 8 cm.

Answer 2

Answer=8cm

Step-by-step explanation:

area of rhombus=8×5=40cm*2

area of rhombus=1/2×d*1×d*2

40cm*2=1/2×10×d*2

4=1/2×d*2

d*2=8cm