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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