Question

Find the area of a rhombus having each side equal to 20cm and one of its diagonals equal to 24cm​

Answer 1

Answer:

According to the question,

AB = BC = CD = AD = 20 cm

Consider, DB = 24 cm

As diagonals of rhombus bisect each other.

DO = OB = 12 cm

In triangle AOB,

AO2 + OB2 = AB2 =

AO2 + 122 = 202

AO2 = 400 - 144 = 256

Ao=16

diagonalAC=16×2=32

Area of rhombus =

1/2x AC x BD=1/2 x32 x24=384 cm2