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length of BE = length of DF
length of CE = length of FA
So that BE = 8 units Ans. Ans. Ans.
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Answer:
Step-by-step explanation:
Because of the symmetry (everything that passes through the centre of something reflects identically on the other side), the area of AOF is the same as the area of COE, meaning that A(AOF) + A(AOEB) = A(ABC) = A(ABCD) / 2 = (24 * 24) / 2 = 288
A(AOEB) = 2 * A(AOF)
A(AOF) + 2 * A(AOF) = 288
3 * A(AOF) = 288
A(AOF) = 96
A(AOF) = A(COE) = EC * h
h is the height of the triangle and it equals 24 / 2 = 12 (because it goes from the centre)
EC * 12 = 96
EC = 8
BE = BC - EC
BE = 24 - 8
BE = 16
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