(a)

The three vertices of a triangle are and .

1. Draw a coordinate plane.

2. Plot the three vertices of triangle.

3. Connect those vertices with a triangle.

(b)

Find the altitude from vertex of the triangle to side :

Let the altitude is .

First find the equation of line .

Let the vertices are and .

Slope of :

Point-slope form of line equation is .

Substitute the point and the slope in the point-slope form.

The distance between the line and the vertices is the altitude().

The altitude from vertex of the triangle to side is units.

 (c)

Find the area of the triangle:

Area of the triangle = .

Let be the distance between the vertices and .

Substitute the values and  in area formula.

Area of the triangle is:

Area of the triangle is square units.

(a)

Graph of the triangle.

(b) The altitude from vertex of the triangle to side is units.

(c) Area of the triangle is square units.