Question

The area of the triangle formed by the points P(0,1) , Q(0, 5) and R(3, 4) is

• A. 16 sq. unit
• B. 8 sq. units
• C. 4 sq. units
• D. 6 sq. units

Answer 1

The correct option is D 6 sq. units

Plot the points and calculate the base and height. The base of the triangle PQR is PQ = 4 units and height is the distance of point R(3, 4) from the y-axis i.e. 3 units.
Then, area of triangle = $\frac{1}{2}\times Base\times Height$ = $\frac{1}{2}\times 4\times 3$ = 6 units.