A(1, 1), B(7, 3) and C(3, 6) are the vertices of a ΔABC. If D is the midpoint of BC and AL ⊥ BC, find the slopes of (i) AD and (ii) AL.

Question

Philoid · Accepted Answer

Given points are

A(1, 1), B(7, 3) and C(3, 6)

Slope of line BC =

(i) As D is the midpoint of BC, coordinate of D are

Now the slope of AD =

(ii) As AL is perpendicular to BC

The slope of AL×slope of BC = -1

Let slope of AL be m₁

So Slope of line AL is .