Question

find the equation of the altitude from the vertex A, in a △ABC with vertices are A(1,2) B (2,3) C(3,4)

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Answer 1

Step-by-step explanation:

Let us draw an altitude from A on BC, assume the point as D. Now,AD becomes the required altitude.

As we know,AD becomes perpendicular to BC and D becomes the mid-point of BC.

Slope of line BC = (4-3)/(3-2) = 1

Then, Slope of AD = -1

Now, Equation of AD is as follows

y-2 = (-1) (x-1)

or,y-2 = -x+1

or, x+y = 3

Hence, Equation of altitude is x+y = 3.