Question

The area of the triangle formed by three vertices $O(0,0),A(1,0),B(0,1)$ is _____ sq. units.

• A. $0$
• B. $\frac{1}{2}$
• C. $1$
• D. $2$

Answer 1

Answer: (B)

$\frac{1}{2}$

Points are given as $O(0,0),A(1,0),B(0,1)$.

When plotted on the cartesian plane, these points make a right angled triangle $OAB$ with

$OA=1$, $OB=1$

Area of this right angled triangle $=\frac{1}{2}\times OA\times OB$

$=\frac{1}{2}\times 1\times 1sq.unit$

$=\frac{1}{2}sq.unit$