Question

The area of a rhombus is 120 CM square and one of its diagonal is 24 cm find its side of rhombus

Answer 1

Hi friend
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Your answer
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Area of a rhombus = 120 cm²

Measure of one of the diagonals of the rhombus = 24 cm

Now,
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1/2 × Diagonal 1 × Diagonal 2 = 120

=> 1/2 × 24 × Diagonal 2 = 120

=> Diagonal 2 = (120 × 2)/24

=> Diagonal 2 = 10 cm

Again,
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Let each side if the rhombus be x.

Then, by Pythagoras theorem,
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(x)² = (24/2)² + (10/2)²

=> x² = (12)² + (5)²

=> x² = 144 + 25

=> x² = 169

=> x = √169

=> x = 13 cm

Therefore,
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Measure of each side if the rhombus is 13 cm.

HOPE IT HELPS