Question

Triangle BCD, with vertices B(-4,3), C(-5,9), and D(-8,8), is drawn inside a rectangle.What is the area, in square units, of triangle BCD?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of triangle BCD, we can use the formula for the area of a triangle given the coordinates of its vertices:

Area = 1/2 * |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|

Let's plug in the coordinates of B(-4,3), C(-5,9), and D(-8,8) into the formula:

Area = 1/2 * |-4(9-8) + -5(8-3) + -8(3-9)|
Area = 1/2 * |-4(1) + -5(5) + -8(-6)|
Area = 1/2 * |-4 -25 + 48|
Area = 1/2 * |19|
Area = 1/2 * 19
Area = 9.5 square units

Therefore, the area of triangle BCD is 9.5 square units.