In triangle ABC, angle B is right angle and AC=2. If coordinates of A and B are (2,2) and (1,3), respectively, then the lenght of median AD is

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answer is B.

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Detailed Solution

AB=2,AC=2,BC=2 Using Apollonius Theoren, we get2(AD2+BD2)=AC2+AB2∴2(AD2+12)=4+2∴AD2+12=3∴AD2=52∴AD=52

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