Question

The length of the diagonals of a rhombus are 24 cm and 10cm. find each side of
Rhombus?

Answer 1

Let ABCD be the rhombus where, AC=10cm and BD=24cm

Let AC and BD intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.

Thus, we have

AO= ½ × AC = ½ × 10 = 5cm and

BO= ½ × BD = ½ × 24 = 12cm

In right angled △AOB,

⇒ (AB)² = (AO)² + (BO)²

⇒ (AB)² = (5)² + (12)²

⇒ (AB)² = 25 + 144

⇒ (AB)² = 169

∴ AB=13cm

∴ The length of each side of rhombus is 13cm.

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