Question

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

Answer 1

Let BE be the altitude of the triangle through B.

Slope of AC = `(4 + 5)/(-2 - 1) = 9/-3 = -3`

∴ Slope of BE = `(-1)/("slope of AC") = 1/3 `

Equation of altitude BE is

`y - 2 = 1/3 (x - 2)`

3y − 6 = x − 2

3y = x + 4