SOLUTION: the diagonals of a rhombus are 36cm and 24 cm.find its perimeter

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Question 479216: the diagonals of a rhombus are 36cm and 24 cm.find its perimeter
Answer by MathLover1(6611) About Me  (Show Source):
You can put this solution on YOUR website!

the diagonals of a rhombus are 36cm and 24cm
the diagonals are all crossed at one point...at this point the lengths are perfectly split in half resulting in the short diagonal 24cm becoming only 12cm and the 36cm to become 18cm
the diagonal lines of the perimeter by using the Pythagoras' theorem:
c%5E2=a%5E2%2Bb%5E2...-> c being the unknown (one of the sides or the hypotenuse that is diagonal)
c%5E2=%2812cm%29%5E2%2B%2818cm%29%5E2
c%5E2=144cm%5E2%2B324cm%5E2
c%5E2=468cm%5E2
c=sqrt%28468cm%5E2%29
c=21.63cm
Now you've got one of the sides solved, multiply it by 4 since rhombus has 4+equal sides.
P=4%2A21.63cm
P=86.52cm