To find the equation of altitude of a triangle we examine the following example, consider the triangle having vertices , and .

First we find the slope of side

is

Since the altitude

is perpendicular of side

.

So the slope of

Since the altitude

passes through the point

, so using point-slope form of equation of line, the equation of

is

This is the required equation of altitude from

to

.

Slope of side

is

Since the altitude

is perpendicular of side

.

So the slope of

Since the altitude

passes through the point

, so using point-slope form of equation of line, the equation of

is

This is the required equation of altitude from

to

.

Slope of side

is

Since the altitude

is perpendicular of side

.

So the slope of

Since the altitude

passes through the point

, so using point-slope form of equation of line, the equation of

is

This is the required equation of altitude from

to

.

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