Question

Find the area of the triangles (in sq. units) formed by the points $(-2,3),(7,5)$ and $(3,-5)$.

Answer 1

Area of the triangle$=\frac{1}{2}\times |x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

$=\frac{1}{2}\times |-2(5-(-5\left)\right)+7(-5-3)+3(3-5)|$

$=\frac{1}{2}\times |(-20)+(-56)+(-6)|$

$=\frac{1}{2}\times |-82|$

$=41$ square units.