PLEASE HEEEELP! STUDYING FOR UNIT EXAM....

Question

A line connects points A and B as shown below. If a third point, C, is plotted six units to the right of point B, what will be the area of the resulting right triangle?

30 square units

24 square units

18 square units

48 square units

Answer 1

The point C 6 units to the right is (1,-3)

The area of a triangle is A = 1/2 • base • height

Base is the difference between the x coordinate of C and B

C = (1,-3)

B = (-5,-3)

Base = 1 - -5 = 1 + 5 = 6

Height is the difference between the y coordinate of A and B

A = (-5,5)

B = (-5,-3)

Height = 5 - -3 = 5 + 3 = 8

Answer

Area = 1/2 • 6 • 8 = 24

You can simplify this method if you realize that when they tell you that point C is 6 units to the right of B that they are giving you your Base value.