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RICE is a rhombus with diagonals meeting at O.  If OI = 5 cm, OE = 12 cm, find the SIDE LENGTH of the rhombus.
A7 cm
B13 cm
C17 cm
D25 cm
Answer & Solution
Correct answer: B. 13 cm
The diagonals of a rhombus are perpendicular bisectors of each other. So at O, the half-diagonals form a right angle. Each side is the hypotenuse of a right triangle with legs OI and OE: side = √(OI² + OE²) = √(5² + 12²) = √(25 + 144) = √169 = 13 cm. (A classic 5–12–13 right triangle.)
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