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perimeter of rhombus=1/2×d1×d2
=1/2×16×30=1/2×480
= 240cm
Ramcharan:
I think that formula is for area of the rhombus and not the perimeter
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The diagonals of the rhombus are perpendicular to each other and also bisect each other.We also know that the sides of a rhombus are all equal,lets call the side of the rhombus a.
So from the diagram we can observe that one side and half of the two of the diagonals form a right angled triangle with the side as the hypotenuse.We can use the pythagoras theorem to find the length of the side.
By pythagoras theorem
a²=(16/2)²+(30/2)²
= 8²+15²=64+225=289
a²=289⇒a=√289=17cm
Therefore the side of the rhombus is 17cm.
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