Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.

Step-by-step explanation:

Distance From a Point to a Line

Given a line with an equation :

ax + by + c = 0

And the point

The distance from the line to the point is given by

The triangle has a vertex at (1,-2) and the base lies on the equation

x + y = 3

Rearranging:

x + y - 3 = 0

The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

Rationalizing:

The altitude of the triangle is

1) is right

step-by-step explanation: