dejewidwjdiw dejewidwjdiw
  • 10-07-2017
  • Mathematics
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JKLM is a rhombus. KM is 10 and JL is 24. Find the perimeter of the rhombus.

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CastleRook
CastleRook CastleRook
  • 17-07-2017
Given that JKLM is a rhombus and the length of diagonal KM=10 na d JL=24, the perimeter will be found as follows;
the length of one side of the rhombus will be given by Pythagorean theorem, the reason being at the point the diagonals intersect, they form a perpendicular angles;
thus
c^2=a^2+b^2
hence;
c^2=5^2+12^2
c^2=144+25
c^2=169
thus;
c=sqrt169
c=13 units;
thus the perimeter of the rhombus will be:
P=L+L+L+L
P=13+13+13+13
P=52 units

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