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Mathematics - Geometry - Pythagorean Theorem

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Two vertical poles 10 ft apart are both 10 ft tall. Find the length of the shortest rope that can reach from the top of the one pole to a point on the ground between them and then to the top of the other pole.

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Let the point on the ground be P and the feet of the two poles be A and B. AB = 10 ft.

Let AP = x then PB = 10 ?x.

By Pythagoras theorem, the length of the first rope = sqrt(10^2 ...

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