Triangle MNO, with vertices M(3,3), N(8,8), and O(4,9), is drawn inside a rectangle, as shown below. What is the area in square units of triangle MNO
To find the area of triangle MNO, we can use the formula for the area of a triangle given its vertices in the coordinate plane:
Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
Plugging in the coordinates of the vertices M(3,3), N(8,8), and O(4,9), we get:
Area = 1/2 * |3(8 - 9) + 8(9 - 3) + 4(3 - 8)|
Area = 1/2 * |-1 + 45 - 20|
Area = 1/2 * |24|
Area = 1/2 * 24
Area = 12 square units
Therefore, the area of triangle MNO is 12 square units.