Question

Find the area of rhombus whose length of each sides is 20cm and one diagonal is 24

Answer 1

Side is 20cm

Diagonal is 24cm

As we know rhombus diagonals bisect each other then one diagonal is 12cm and 12cm and we know rhombus diagonals bisect at 90°

Then , it will nake a right-angle triangle .

So , in trinagle we will find one half diagonal and one side of rhombus and other diagonal . To find other diagonal we will use Pythagoras theorem then,

(hy)^2 = (b)^2 + (h)^2

20^2 = 12^2 + (h)^2

400 = 144 + (h)^2

(h)^2 = 400-144

h = under root 256

h = 16cm

then other diagonal is 16+16 = 32cm

and to find area of diagonal we use = (product of diagonals)

= 24*32

= 768 cm^2