Amaury draws an acute triangle on the coordinate grid. He finds the area of the triangle by drawing a rectangle that circumscribes the triangle and forming right triangles. How can Amaury find the area of the triangle? What is the area of the triangle in square units?
A (-3,5)
B (3,7)
C (2,3)
(4 points)
To find the area of the triangle, Amaury can measure the base and height of the triangle. The base can be found by finding the difference in the x-coordinates of two points on the triangle, and the height can be found by finding the difference in the y-coordinates of those same two points.
Point A (-3,5) and Point C (2,3) can be chosen for this calculation.
The base of the triangle is 2 - (-3) = 5 units.
The height of the triangle is 3 - 5 = -2 units, but since the height is a distance, it is considered as positive 2 units.
Therefore, the area of the triangle is (1/2) * base * height = (1/2) * 5 * 2 = 5 square units.