Practice - Area of a Triangle (Coordinate Geometry)
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Practice Questions
Test your understanding with targeted questions
Find the area of the triangle with vertices A(0, 0), B(4, 0), and C(0, 4).
💡 Hint: Use the formula provided in the section.
Calculate the area for the triangle formed by A(1, 1), B(2, 4), C(3, 1).
💡 Hint: Plug the coordinates into the formula correctly.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What formula is used to calculate the area of a triangle given its vertices?
💡 Hint: Remember the components involved in the triangle's vertices.
True or False: The area of a triangle can be negative.
💡 Hint: Recall how absolute value affects the area.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Points A(1, 2), B(4, 6), and C(5, 10) form a triangle. Prove that these three points are collinear and hence find the area.
💡 Hint: Check if the area formula simplifies to yield 0.
Given A(2, 3), B(0, 6), and C(-1, 2), determine the area of the triangle and its possible interpretations.
💡 Hint: Be mindful of the negative coordinates; they affect placement on the graph.
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