A farmer owns a piece of land in the shape of an equilateral triangle, 200 m on a side, which is totally fenced in. He wishes to construct an additional fence parallel to the side fronting the road (Fig. 1.24) so that the area fronting the road takes up one-third of the total area. This area will be for his horses. On the remaining two-thirds he plans to construct his dream home. How far back from the road (shown as the distance h) should the fence be located?

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200 m 002