From the center O of the square ABCD with a side of 18 cm, the perpendicular OM 12 cm long is restored to the plane. Find the area ABM.

univerkov | November 26, 2020 | education

consider the OME triangle
(angle O = 90)
OE = AD / 2 = 18/2 = 9 cm
ME = √OOE ^ 2 + MO ^ 2 = √9 ^ 2 + 12 ^ 2 = 15 cm
S = ME * AB / 2 = 15 * 18/2 = 135 cm ^ 2
Answer: Streug ABM = 135 cm ^ 2

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