SOLUTION: In the rhombus SURE, SU =5 cm , OE=3 cm. Find the length of the diagonal SR.

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Question 1106558: In the rhombus SURE, SU =5 cm , OE=3 cm. Find the length of the diagonal SR.
Answer by rothauserc(4718) About Me  (Show Source):
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all the sides of a rhombus are equal, so RE=5
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The intersection of the diagonals of a rhombus form 90 degree (right) angles, therefore RE is the hypotenuse of a right triangle and OE is one of its legs
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Using the Pythagorean Theorem
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OR^2 = 5^2 - 3^2 = 16
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OR=4
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SR = 2 * 4 = 8cm
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Note that diagonals of a rhombus bisect each other
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