Triangle UVW, with vertices U(-7,-9), V(-4,-8), and W(-8,-2), is drawn inside a rectangle.What is the area, in square units, of triangle UVW?

Answer 1

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

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

In this case, the vertices of triangle UVW are U(-7,-9), V(-4,-8), and W(-8,-2). Plugging the coordinates into the formula, we get:

Area = 1/2 * |-7(-8 - (-2)) + (-4)(-2 - (-9)) + (-8)(-9 - (-8))|
Area = 1/2 * |-7(-6) + (-4)(7) + (-8)(-1)|
Area = 1/2 * (42 + 28 + 8)
Area = 1/2 * 78
Area = 39

Therefore, the area of triangle UVW is 39 square units.