As shown in the figure, O is the middle line of the triangle ABC AD.BE.CF If the area of triangle AFO is 6, calculate the area of triangle ABC and the value of Ao: OD As shown in the figure, O is the middle line of the triangle ABC AD.BE.CF If the area of the triangle AFO is 6, calculate the area of the triangle ABC Find the value of Ao: OD

As shown in the figure, O is the middle line of the triangle ABC AD.BE.CF If the area of triangle AFO is 6, calculate the area of triangle ABC and the value of Ao: OD As shown in the figure, O is the middle line of the triangle ABC AD.BE.CF If the area of the triangle AFO is 6, calculate the area of the triangle ABC Find the value of Ao: OD

The vertical line from a to CF is m, and the vertical line from B to CF is n
In △ AFM and △ BNF
Angle BFN = angle AFM, AF = BF
Therefore, △ AFM is congruent with △ BFN
So: BN = am, that is, △ ACO is equal to △ BCO
So there is: s △ ACO = s △ BCO
Similarly, s △ ACO = s △ Bao
Because: s △ AFO = s △ FBO (equal base and equal height)
So: s △ AOC = s △ BOC = s △ AOB = 2S △ AFO
Then: s △ ABC = 6S △ AFO = 36
Because: s △ AOB = AO * h * 1 / 2, s △ BOD = od * h * 1 / 2
And s △ AOB = 2S △ BOD
Then: AO * h * 1 / 2 = 2 * od * h * 1 / 2
Two sides about h, AD / OD = 2 / 1