the length of the diagonals of a rhombus are 16cm and 12cm respectively. find the length of each of its sids
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Length of each side of a rhombus = 10cm
Step-by-step explanation :
Let ABCD be a rhombus of diagonals 16cm and 12cm respectively and O be the point of intersection of the diagonals.
Since we know that diagonals of a rhombus intersect at an angle of 90 degree, therefore AOB is a right angle triangle with right angle at O.
AO = 8cm ; BO = 6cm
Using pythagoras theorem
AB^2 = AO^2 + BO^2
AB^2 = 8^2 + 6^2
AB^2 = 64+36
AB^2 = 100
AB = √100
AB = 10cm
Length of each side of a rhombus = 10cm
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