Question

plot and connect the points listed below. when you are done, find the area of the triangle.
a(0,2), b(3,0), c(0,−2)
click on the graph to plot a point. click a point to delete it.
when you are done, press \graph figure\ to see the result.

Explanation:

Step1: Find the base length

Points A(0,2) and C(0,-2) are on the y - axis. The distance between them is \(|2 - (-2)|=|4| = 4\). So the base of the triangle \(b = 4\).

Step2: Find the height

Point B(3,0) is on the x - axis. The horizontal distance from B to the y - axis (where the base AC lies) is the x - coordinate of B, which is 3. So the height \(h=3\).

Step3: Calculate the area

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). Substitute \(b = 4\) and \(h = 3\) into the formula: \(A=\frac{1}{2}\times4\times3\).
First, \(\frac{1}{2}\times4 = 2\), then \(2\times3=6\).

Answer:

The area of the triangle is 6.