Answer:
Step-by-step explanation:
<u>Distance From a Point to a Line</u>
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