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With reference to the conventional Cartesian $(\mathrm{x}, \mathrm{y})$ coordinate system, the vertices of a triangle have the following coordinates: $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(1,0) ;\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)=(2,2) ;$ and $\left(\mathrm{x}_{3}, \mathrm{y}_{3}\right)=(4,3) .$ The area of the triangle is equal to
(A) $\frac{3}{2}$
(B) $\frac{3}{4}$
(C) $\frac{4}{5}$
(D) $\frac{5}{2}$



Question ID - 155960 | SaraNextGen Top Answer

With reference to the conventional Cartesian $(\mathrm{x}, \mathrm{y})$ coordinate system, the vertices of a triangle have the following coordinates: $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(1,0) ;\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)=(2,2) ;$ and $\left(\mathrm{x}_{3}, \mathrm{y}_{3}\right)=(4,3) .$ The area of the triangle is equal to
(A) $\frac{3}{2}$
(B) $\frac{3}{4}$
(C) $\frac{4}{5}$
(D) $\frac{5}{2}$

1 Answer
127 votes
Answer Key / Explanation : (A) -

$\frac{3}{2}$

127 votes


127