In △ A BC , A B is vertical, BC horizontal, and the centroid is (2, 1). If the median through C has equation x − y = 1 , find the slope of the median through A .

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Write B = ( a , b ) , A = ( a , d ) , C = ( c , b ) . The slopes of the medians from C and A are ( b − d ) / [ 2 ( c − a )] = 1 and ( b − d ) / [( a + c ) /2 − a ] , respectively, so the latter is 4.

Mathematics - Properties of Triangle Question with Solution | TestHub

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