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# Area

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A 1 acre area field in the shape of a right triangle has a post at the midpoint of each side. A sheep is tethered to each side posts and a goat to the post in the hypotenuse. The ropes are just long enough to let each animal reach the two adjacent vertices. What is thw total area the two sheep have to themselves? i.e. the area the goat can' reach.

Calculates area.

##### Solution Preview

The sketch is given in the word document attached.

ABC is the right triangle field. Angle ACB= 90 degrees. AB is the hypotenuse.

The goat is tethered at D which divides AB into two parts. BD=AD
The sheep are tethered at E and F . AF=FC. CE=EB.

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