Question

the side of a rhombus is 5 cm. if its one diagonal is 8 cm, find the area of rhombus​

Answer 1

HEY MATE,

GIVEN :- A RHOMBUS WITH ONE SIDE 5CM SO ALL SIDE OF RHOMBUS IS EQUAL SO AB = BC = CD = AD. AND DIAGONAL MEET AT 90 DEGREES. DIAGONAL BISECT EACH OTHER AT O.

SO, AO = 1/2 AC

AO = 8 X 1/2

AO = 4

SO FOR OD, WE USE PYTHAGORAS

SO, CD SQUARE = OA SQUARE + OD SQUARE

(OD) SQUARE = (5) SQUARE - (4) SQUARE

(OD) SQUARE = 25-16

(OD) SQUARE = 9

OD = 3 CM.

THEREFORE : AC = 8 CM

BD = 6 CM

SO AREA OF RHOMBUS = 1/2 X ( PRODUCTS OF DIAGONALS)

= 1/2 X 8 X 6

= 1/2 X 48

= 24 SQUARE CM.

I HOPE THIS WILL HELP YOU...

PLS MARK AS BRAINLIEST.