Question

The area of ∆AOB having vertices A(0, 6), O(0, 0) and B(6, 0) is
(a) 12 sq units
(b) 36 sq units
(c) 18 sq units
(d) 24 sq units

Answer 1

The points A(0, 6), O(0, 0) and B(6, 0) can be plotted on the Cartesian plane as follows:



Here, ∆AOB is a right triangle right angled at O.

OA = 6 units and OB = 6 units

∴ Area of ∆AOB = $\frac{1}{2}\times \mathrm{OA}\times \mathrm{OB}=\frac{1}{2}\times 6\times 6$ = 18 square units

Hence, the correct answer is option (c).