Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side
and perimeter of the rhombus.
diagram also
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Answer:
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Step-by-step explanation:
⇒ 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=
2
16
=8cm
⇒ BO=
2
12
=6cm
⇒ In right angled △AOB,
By 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
∴ Side of a rhombus is 10cm.
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