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The length of the diagonals of a rhombus are 16 cm and 12 cm. What is the length of the side of the rhombus?

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5cm

10cm

7cm

8cm

answer is B.

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Detailed Solution

It is given that the diagonals of a rhombus are 16 cm and 12 cm.
Question Image

We shall use the properties of right-angled triangles for solving this.
Let ABCD be rhombus with AC and BD diagonals.
Let AC and BD bisect at O.
Hence,

AO = 162 = 8 c m, BO= 122 = 6 c m

Δ A O B

is a right-angled triangle
Length of each side can be determined by Pythagoras theorem hence,

62 + 82 = 10 c m

Hence, the correct answer is option 2.

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