Lengths of diagonal of a rhombus ABCD are 16cm and 12cm . Find side and perimeter of the rhombus .
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5
Answer:
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=
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.
solution
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2
Answer:
The side of a rhombus is 10 cm and the perimeter of the rhombus is 40 cm.
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