3
QuizMultiple Choice

Determinants

Question 3 • Precalculus

What is the area of a triangle with vertices at (–2, –1), (4, –1), (6, 5)?

Answer
A
6 square units
B
9 square units
C
18 square units
D
36 square units

Explanation

The points (–2, –1) and (4, –1) lie on the same horizontal line, so they form a base of length 4 – (–2) = 6 units. The third vertex is 6 units above that line because 5 – (–1) = 6. The triangle’s area is (1/2) × 6 × 6 = 18 square units, so the correct choice is 18 square units.

AI-written and checked against the verified answer.

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