the diagonals of a rhombus are 16cm, & 12cm, what is the length of each side?
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Here is your answer.
⇒ Let ABCD be the rhombus and AC and BD bisect at point O. AC = 16cm and BD = 12cm.
⇒ We know that the diagonals of rhombus bisect at right angles.
⇒ AO=216=8cm
⇒ BO=212=6cm
⇒ In right angled △AOB,
By using Pythagoras theorem,
⇒ AB2=AO2+BO2
⇒ AB2=82+62
⇒ AB2=64+36
⇒ AB2=100
⇒ AB=100
⇒ AB=10cm
∴ Side of a rhombus is 10cm.
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