Q. 16 C3.7( 9 Votes )

# The point O is situated within the rectangular figure ABCD in such a way that OB = 6 cm., OD = 8cm. and OA = 5cm. Let us determine the length of OC.

Given: In a rectangle ABCD with an interior point O,

OA = 5 cm

OB = 6 cm

OD = 8 cm

We know in a rectangle ABCD with an interior point O,

OA2 + OC2 = OB2 + OD2

52 + OC2 = 62 + 82

25 + OC2 = 36 + 64

OC2 = 100-25 = 75

OC = √75 = 5√3 cm

Thus OC is 5√3 cm long.

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