If the length of the diagonals of a rhombus is 30cm and 16cm, find the perimeter
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Answer:
perimeter of the rhombus = 68cm
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In rhombus ABCD ,we have
Diagonal AC =16 cm
Diagonal BD = 12 cm
We know that diagonals of rhombus bisects each other at
right angles.
So, OD = ½ BD = ½ X 12cm = 6cm
OC = ½ AC = ½ X 16 cm = 8 cm
In right triangle COD , right angle at O,
By Pythagoras property of triangle
=
+
= +
=
+
= 64 + 36
= 100
=
CD = 1O cm
Now side of rhombus = 10cm
Perimeter of Rhombus = 4x side= 4 x10 cm = 40cm
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