. Pove that the area of rhombus is equal to half the rectangle contain

1.	. Pove that the area of rhombus is equal to half the rectangle contained by is diago
Answer» let ABCD is a rhombus whose diagonals AC=2x and BD= 2y. cut at point o. OA=OC=2x/2=x , and OB=OD=2y/2=y Area of right angled triangleAOB=(1/2)×x.y Area of rhombusABCD=4×Area of triangle AOB =4×(1/2).x.y =2x.y……………………..(1) Area of rectangle contained its diagonal=2x.2y=4xy =2×(2x.y)………………(2) from eq.(1) and(2) Area of rhombus is half of the area of rectangle contained by its diagonals.

. Pove that the area of rhombus is equal to half the rectangle contained by is diago

Answer»

let ABCD is a rhombus whose diagonals AC=2x and BD= 2y. cut at point o.

OA=OC=2x/2=x , and OB=OD=2y/2=y

Area of right angled triangleAOB=(1/2)×x.y

Area of rhombusABCD=4×Area of triangle AOB

=4×(1/2).x.y

=2x.y……………………..(1)

Area of rectangle contained its diagonal=2x.2y=4xy =2×(2x.y)………………(2)

from eq.(1) and(2)

Area of rhombus is half of the area of rectangle contained by its diagonals.