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Question
The lengths of the diagonals of a rhombus are 24 cm and 10 cm. The length of each side of the rhombus is ______.
Options
12 cm
13 cm
14 cm
17 cm
MCQ
Fill in the Blanks
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Solution
The lengths of the diagonals of a rhombus are 24 cm and 10 cm. The length of each side of the rhombus is 13 cm.
Explanation:
The diagonals of a rhombus bisect each other at right angles, so the half-lengths are `24/2 = 12` and `10/2 = 5`.
Each side is the hypotenuse of a right triangle with legs 12 and 5, so side
= `sqrt(12^2 + 5^2)`
= `sqrt(144 + 25)`
= `sqrt(169)`
= 13 cm
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