Question

Find the area of a rhombus each side of is measured 20cm and one of whose daigram is 24 cm?

Answer 1

Answer:

Area= 384 cm^2.

Step-by-step explanation:

The diagonals divide rhombus into four right angled triangles.

Since only a side and a diagonal is given, we use pythagoras therorem

Let the other diagonal be 'a'.

half of diagonal= 24/2= 12 cm.

(a)^2= (20)^2-(12)^2

a^2= 400-144

a^2= 256

Taking square root ,

a= 16 cm.

a is only half of the diagonal

Therefore, a=32

NOw,

Area= Diagonal 1 x Diagonal 2/2

Area= 32x24/2

Area= 384 cm2.

Hence, Proved.