Question

If coordinates of the mid points of the sides of a triangle are (1, –1), (2, 3) and (3, 2) then area of the triangle is-

• A. 5 sq. units
• B. 6 sq. units
• C. $\frac{11}{2}$sq. units
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

P ŗ (1, – 1) , Q ŗ (2, 3), R ŗ (3, 2)

Area of DPQR = $\frac { 1 } { 2 }$ $\begin{matrix} 1 & - 1 & 1 \\ 2 & 3 & 1 \\ 3 & 2 & 1 \end{matrix}$

= $\frac{5}{2}$

Area of DABC = 4 DPQR

= 4$\left( \frac{5}{2} \right)$= 10 unit²