Question

Area of the triangle whose vertices are $(4,4),(3,-2)$ and $(-3,16)$, is

• A. 54
• B. 27
• C. 53
• D. 106

Answer 1

Answer: (B)

Area of the triangle, whose vertices are $(4,4),(3,-2)$ and $(-3,16)$
$=\frac{1}{2}|4(-2-16)+3(16-4)+(-3)(4+2)|$
$=\frac{|-72+36-18|}{2}$
$=\frac{|-54|}{2}=\frac{54}{2}=27$