Question

Find the area of a rhombus, each side of which measures 20 cm and one of whose
diagonals is 24 cm.
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Answer 1

Answer:

384cm²

Step-by-step explanation:

let ABCD be the rhombus in which AB=20cm and AC=24

WE know that diagonal of a rhombus bisects each other right angle

OA=½×AC=(½×24)cm=12cm

and AOB,=90 degree

OB= AB²-OA²= 20²-12²Cm

400-144 cm

256cm²=16 cm

BD=2×OB=2×16=32cm

Area of rhombus ABCD=(½×24×32)Cm²

=384cm²