Option 4 : 4.5 Sq. unit

Cell

345924

10 Questions
10 Marks
7 Mins

**Given:**

(x_{1}, y_{1}) = (3, 1), (x_{2}, y_{2}) = (2, 3) and (x_{3}, y_{3}) = (-2, 2)

**Concept:**

Use of formula for calculating the area of triangle.

**Formula used:**

\(Area\;of\;\Delta = \frac{1}{2}\;\left[ {\;{x_1}\left( {{y_2}\; - \;{y_3}} \right)\; + \;{x_2}\left( {{y_3}\; - \;{y_1}} \right)\; + \;{x_3}\left( {{y_1}\; - \;{y_2}} \right)} \right]\)

**Calculation:**

\(Area\;of\;\Delta = \frac{1}{2}\;\left[ {3\;\left( {3\; - \;2} \right)\; + \;2\;\left( {2\; - \;1} \right)\; + \;\left( {\; - 2} \right)\;\left( {1\; - 3} \right)} \right]\;\)

⇒ Area of Δ = 9/2 = 4.5 Sq. unit

**∴**** The area of formed triangle is ****4.5 ****Sq. unit**