Practice Area Of A Triangle (coordinate Geometry) (7.2)

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the area of the triangle with vertices A(0, 0), B(4, 0), and C(0, 4).
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Use the formula provided in the section.
Question 2.
Calculate the area for the triangle formed by A(1, 1), B(2, 4), C(3, 1).
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Plug the coordinates into the formula correctly.
3Question 3.
What formula is used to calculate the area of a triangle given its vertices?
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Remember the components involved in the triangle's vertices.
4Question 4.
True or False: The area of a triangle can be negative.
- True
- False
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Recall how absolute value affects the area.
Question 5.
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.
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Check if the area formula simplifies to yield 0.
Question 6.
Given A(2, 3), B(0, 6), and C(-1, 2), determine the area of the triangle and its possible interpretations.
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Be mindful of the negative coordinates; they affect placement on the graph.

5 more questions in this section. Enroll free to practise them all.