Triangle MNO, with vertices M(3,2), N(9,3), and O(4,6), is drawn inside a rectangle.What is the area, in square units, of triangle MNO?

Answer 1

To find the area of triangle MNO, 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)|

Where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the vertices M, N, and O respectively.

Plugging in the coordinates, we get:

Area = 1/2 * |3(3 - 6) + 9(6 - 2) + 4(2 - 3)|
= 1/2 * |-9 + 27 + 4|
= 1/2 * 22
= 11 square units

Therefore, the area of triangle MNO is 11 square units.