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in Mathematics by (54.1k points)

A (1, −5), B (2, 2) and C (−2, 4) are the vertices of triangle ABC, Find the equation of: 

(i) the median of the triangle through A.

(ii) the altitude of the triangle through B.

(iii) the line through C and parallel to AB.

1 Answer

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Best answer

(i) We know the median through A will pass through the mid-point of BC. Let AD be the

median through A.

Co-ordinates of the mid-point of BC, i.e., D are

(ii) Let BE be the altitude of the triangle through B.

Slope of the line parallel to AB = Slope of AB = 7

So, the equation of the line passing through C and parallel to AB is

y − 4 = 7(x + 2)

y − 4 = 7x + 14

y = 7x + 18

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