Question
Find the area of the triangle formed by the points A(2,
3), B(-1, -4), and C(5, -2).Solution
The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is given by: Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|. Substituting the given points: Area = 1/2 * |2(-4 - (-2)) + (-1)(-2 - 3) + 5(3 - (-4))| = 1/2 * |2(-2) + (-1)(-5) + 5(7)| = 1/2 * |-4 + 5 + 35| = 1/2 * |36| = 18 square units.
More Coordinate Geometry Questions
√323.89 × (3.20) ÷ 9.02 =?
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
23.98% of 624.99 = 19.98% of ? + 14.98% of 639.99
Direction: Please solve the following expression and choose the closest option
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
12, 16, ?, 36, 52, 72
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
(6859.01)1/3 × 10.11 × 14.47 ÷ 20.32 = ? + 45.022
33.33% of 809.891 + 66.66% of 212.91 = ?
