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6 August, 10:36

Town C is 2 miles east of town A and 2 miles south of Town B as in the figure at right. which of the following is the best estimate of the shortest distance from Town A to Town B?

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  1. 6 August, 14:22
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    Since C is 2mi east of A and 2mi south of B, the shortest distance from A to B would be a straight line which is equal to the hypotenuse of a right triangle with a base of 2mi and a height of 2mi ...

    d^2=x^2+y^2

    d^2=2^2+2^2

    d^2=4+4

    d^2=2*4

    d=√ (2*4)

    d=2√2 mi (exact)

    d≈2.83 mi (to nearest hundredth of a mile)
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