Question

Ploi (-3,0), 5.0) and (0, 1) on Cartesion plane. Name the figure formed by joining these points and find its area.​

Answer 1

Figure Made by joining these points :

$\large \boxed { \blue{\bf Triangle}}$

$\large \bf Area \: of \: Triangle :$

$\bf \red{ \frac{1}{2} \times \{{x}_{1}({y}_{2} - {y}_{3}) + {x}_{2}({y}_{3} + {y}_{1}) + {x}_{3}({y}_{1} - {y}_{2}) \}}$

$\Longrightarrow \frac{1}{2} \{ - 3(0 - 1) + 5(1 - 0) + 0(0 - 0) \\ \\ \Longrightarrow \frac{1}{2} \{3 + 5 \} \\ \\ \Longrightarrow \frac{1}{2} \times 8 \\ \\ \large \bf \red{\Longrightarrow 4 \: {unit}^{2} }$