Lengths of diagonals AC and BD of a rhombus are 12cm, 16cm respectively.
Find the length of each side of the rhombus?
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Answer - 10 cm
Explanation:
Let ABCD be rhombus with AC and BD diagonals.
Let AC and BD bisect at O.
Therefore AO = 16/2=8 BO = 12/2=6cm
In right angled triangle AOB, by Pythagoras theorem we can write as AB^2=AO^2+OB^2 AB^2=82+62 AB^2= 64 + 36 AB= √ 100 AB = 10
Length of rhombus is 10
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