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Question
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of the side of rhombus is ______.
Options
8 cm
9 cm
11 cm
10 cm
MCQ
Fill in the Blanks
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Solution
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of the side of rhombus is 10 cm.
Explanation:
The diagonals of a rhombus bisect each other at right angles.
So, the half-diagonals are 8 cm and 6 cm.
These form the legs of a right triangle with the side of the rhombus as the hypotenuse.
By Pythagoras,
Side = `sqrt(8^2 + 6^2)`
= `sqrt(64 + 36)`
= `sqrt(100)`
= 10 cm
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