Answer:
10
Step-by-step explanation:
A triangle is a polygon shape with three sides. There are different types of triangles such as scalene, obtuse, equilateral, isosceles etc.
The area of a triangle is given by:
Area = (1/2) * base * height
For triangle XYZ, the base = |XZ| and the height = |AY|
We can calculate the base and height using the formula for the distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]
[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore:
[tex]Base=|XZ|=\sqrt{(0-(-2))^2+(2-6)^2} =\sqrt{20} \\\\Height=|AY|=\sqrt{(3-(-1))^2+(6-4)^2}=\sqrt{20}[/tex]
Area = (1/2) * base * height = (1/2) * √20 * √20 = 10.
