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If the lengths of the diagonals of a rhombus are 24 cm and 18 cm, the length of each side of the rhombus is ____ cm.

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Detailed Solution

If the lengths of the diagonals of a given rhombus are 24 cm and 18 cm, the length of each side of the rhombus is 15 cm.
Let ABCD be given rhombus then AC and BD are the diagonals of ABCD, where

A C = 24

cm and

B D = 18 c m .

Let O be the intersection point of the diagonals.
Question Image

As we know that the diagonals of a rhombus are perpendicular bisectors of each other.

Δ A O B

is a right-angled triangle in which,
Question Image

O B = 182 = 9 cm

Using Pythagoras theorem in

Δ A O B

Hence, the length of the side of the rhombus is 15 cm.

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