Question

Find the area of a triangle with the given vertices.

Part I: Graph the following points on the coordinate grid below.
(1, -3), (3, -1), (5, -3)

Part II: Find the area of the triangle. Show your work.

Answer 1

4 units is the area

Explanation:

taking the test rn

Answer 2

the area of the triangle is 4 square units.

Explanation:

Plotting the points, we can see that the triangle is isosceles lying in the 4th quadrant of graph.

we can break the triangle in 2 similar right angled triangles,

each with base 2 and height 2 units.

area of triangle is given by the formula,

A=
`((1)/(2))(base)(height)`

thus, A=
`((1)/(2))(2)(2)`

A=2 square units.

there are 2 such triangles,

thus total area is 4 square units.