Q. 64.3( 6 Votes )

The diagonals of a rhombus are 16 cm and 12 cm. Find the length of each side of the rhombus.

Answer :

10 cm

Rhombus forms four congruent right triangles.

Sides of each triangle will be half of rhombus diagonals. i.e. 16/2 = 8 cm and 12/2 = 6 cm

According to Pythagoras theorem,

a2 = b2 + c2

a2 = 82 + 62

a = √ (82+62)

a = √ (64+36)

a = √ 10

a = 10 cm

So, Sides of rhombus is 10cm.

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