SOLUTION: The diagonals of a rhombus are 24 cm and 10 cm. The perimeter of the rhombus (in cm) is ?

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Question 464282: The diagonals of a rhombus are 24 cm and 10 cm. The perimeter of the rhombus (in cm) is ?
Answer by Gogonati(855) About Me  (Show Source):
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As we know the diagonals of the rhombus are perpendicular bisectors. To find the side of the rhombus we use the Pythagorean theorem :
x%5E2=12%5E2%2B5%5E2=144%2B25=169 <=> x=sqrt%28169%29 <=> x=13+cm.
Since the sides of the rhombus are equal its perimeter is:4%2A13cm=52cm.