Chapter 12.1, Problem 38E

a.

To determine

To form: The triangle by plotting the points $A=\left(0,2\right)\text{,}B=\left(1,4\right)\text{ and }C=\left(4,0\right)$ in the Cartesian plane.

b.

To determine

The length of each side of the triangle formed by connecting the points $A=\left(0,2\right)\text{,}B=\left(1,4\right)\text{ and }C=\left(4,0\right)$.

c.

To determine

To verify: The triangle formed by the points $A=\left(0,2\right)\text{,}B=\left(1,4\right)\text{ and }C=\left(4,0\right)$ is a right triangle.

d.

To determine

The area of the triangle formed by the points $A=\left(0,2\right)\text{,}B=\left(1,4\right)\text{ and }C=\left(4,0\right)$.