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If the length of the diagonals of a rhombus are 32 cm and 24 cm, then the length of each side of the rhombus will be:
Question

If the length of the diagonals of a rhombus are 32 cm and 24 cm, then the length of each side of the rhombus will be:

A.

30 cm

B.

20 cm

C.

40 cm

D.

10 cm

Correct option is B

Given:

Length of the diagonals of a rhombus = 32 cm, 24 cm

Concept Used:

The diagonals bisect each other at right angles, forming two right-angled triangles.

Solution:

The length of each side is given by the Pythagorean theorem:

s = (322)2+(242)2\sqrt{\left(\frac{32}{2}\right)^2 + \left(\frac{24}{2}\right)^2}​​

s = 20 cm

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