Find the area of the triangle with vertices (2,3), (0, 1) and (1, 2) .

Question

Find the area of the triangle with vertices (2,3), (0, 1) and (1, 2) . (A)  (1/2) sq. unit (B)  0 sq. unit (C)  2 sq. units (D)  2 (1/2) sq. units

Tardigrade Admin · Accepted Answer

Given vertices of triangle are (2, 3),(0, 1) and (1, 2) ∴ Area of triangle =(1/2)| beginmatrix 2 3 1 0 1 1 1 2 1 endmatrix | =(1/2)[2(1-2(-3(-1)+1(0-1)] =(1/2)[2(-1)+3-1] =(1/2)[-2+3-1]=0

Q. Find the area of the triangle with vertices $(2, 3),$ $(0, 1)$ and $(1, 2)$ .

$\frac{1}{2}$ sq. unit

$0$ sq. unit

$2$ sq. units

$2 \frac{1}{2}$ sq. units

Given vertices of triangle are $(2, 3), (0, 1)$ and $(1, 2)$
$∴$ Area of triangle
$= \frac{1}{2} ∣ ∣ 201312111 ∣ ∣$
$= \frac{1}{2} [2 (1 - 2 (- 3 (- 1) + 1 (0 - 1)]$
$= \frac{1}{2} [2 (- 1) + 3 - 1]$
$= \frac{1}{2} [- 2 + 3 - 1] = 0$

Q. Find the area of the triangle with vertices (2,3), (0,1) and (1,2) .

21​ sq. unit

0 sq. unit

2 sq. units

221​ sq. units