Q3. The length of the diagonals of a rhombus are 16cm and 12cm.
Then the length of the
of the sides of the shombus. :
ca
(b) 10cm
(Bom
U 20 cm
9 cm
Answers
Answered by
0
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.
Similar questions