Determinant Practice Questions Ques9

Question: If the vertices of a triangle are $(0, 0)$, $(4, 0)$, and $(0, 3)$, what is the area of the triangle?

Options:

(A) $6$ sq. units

(B) $12$ sq. units

(C) $3$ sq. units

(D) $8$ sq. units

Show Answer

Answer: A

Explanation:

(A) The area is $\frac{1}{2} \left| 0(0-3) + 4(3-0) + 0(0-0) \right| = 6$

(B) Incorrect, the correct calculation yields $6$.

(C) Incorrect, the correct calculation yields $6$.

(D) Incorrect, the correct calculation yields $6$.