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Question
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then the length of the side of the rhombus is ______.
Fill in the Blanks
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Solution
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then the length of the side of the rhombus is 10 cm.
Explanation:
In a rhombus the diagonals bisect each other at right angles, so each diagonal is cut into halves of 8 cm and 6 cm.
Those half-diagonals form the legs of a right triangle whose hypotenuse is a side of the rhombus:
Side = `sqrt(8^2 + 6^2)`
= `sqrt(64 + 36)`
= `sqrt(100)`
= 10 cm
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