← Back to Test

Problem 10 - Entrance Test

Find the area of the triangle formed by points (0, 0), (2, 3), and (4, 0).

Correct: A

To find the area of a triangle given its vertices (x1, y1), (x2, y2), (x3, y3), we use the formula: area = (1/2)*|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|. Plugging in the values: area = (1/2)*|0(3 - 0) + 2(0 - 0) + 4(0 - 3)| = (1/2)*|0 + 0 + 4(-3)| = (1/2)*|-12| = 6.