Consider a triangle ABC in a Cartesian coordinate plane, where point A is located at (1, 4), point B is at (7, 4), and point C is at (4, 1). Compute the area of triangle ABC using the following formula: The area of a triangle given its vertices at coordinates (x 1 , y 1 ), (x 2 , y 2 ), and (x 3 , y 3 ) can be calculated as: $$ ext{Area} = rac{1}{2} igg| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) igg| $$ Using the coordinates of points A, B, and C in the formula, find the area of triangle ABC. Provide your answer in the grid:

Exam

Digital SAT

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Difficulty

Digital SAT Mathematics - Calculator Section

Area of Triangle ABC

Very Hard Additional Math Topics Geometry

Consider a triangle ABC in a Cartesian coordinate plane, where point A is located at (1, 4), point B is at (7, 4), and point C is at (4, 1).
Compute the area of triangle ABC using the following formula:

The area of a triangle given its vertices at coordinates (x₁, y₁), (x₂, y₂), and (x₃, y₃) can be calculated as:

$$ ext{Area} = rac{1}{2} igg| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) igg| $$

Using the coordinates of points A, B, and C in the formula, find the area of triangle ABC. Provide your answer in the grid:

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