Question

Find the area of a triangle with the given vertices.

Answer 1

Answer:

the area of the triangle is 4 square units.

Step-by-step 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= $(\frac{1}{2})(base)(height)$

thus, A= $(\frac{1}{2})(2)(2)$

A=2 square units.

there are 2 such triangles,

thus total area is 4 square units.