Answer:
The answer is given below
Step-by-step explanation:
Given that:
Point A = (-4,3) and point B = (2,3)
Since Point C is a reflection of point B across the x-axis, point C has the same x coordinate as point B but the value of the y coordinate is the opposite sign. Therefore the coordinate of point C is (2,-3). The distance between AB is given as:
[tex]AB=\sqrt{(3-3)^2+(2-(-4))^2}=\sqrt{6^2}=6\ units\\BC=\sqrt{(-3-3)^2+(2-2)^2}=\sqrt{6^2}=6\ units\\[/tex]
The height of the triangle is BC and the base is AB. The area of triangle ABC is given as:
Area = 1/2 × base × height = 1/2 × 6 × 6 = 18 unit²
