Question

Show that the area of rhombus is the half the prodect of tits digonal?

Answer 1

hey!

•rhombus

its all sides are equal

its diagonal bisect each other at 90degree

it is also a parallelogram

and its area is 1/2 into product of its diagonals

now for the proof refer to the attachment

Answer 2

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The figure consists of 4 RATs with the sides containing the right angle as 3 cm and 4 cm. Each of the 4 RATs have an area of 3*4/2 = 6 sq cm. Thus the rhombus has an area of 4*6 = 24 sq cm. The product of the diagonals is 6*8 = 48 and half their product is 48/2 = 24, same as the area of the rhombus.

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