Question

The area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) is

(a) 24 sq. units

(b) 12 sq. units

(c) 10 sq. units

(d) none of these

Answer 1

Given that points A, Band Cform a triangle which is shown in the figure. We are asked to find the area of the triangle ΔABC.

Given that

Hence:

$$\begin{gathered} AB=OB-OA \\ =6-2 \\ =4 \end{gathered}$$
CD = 6

By using formula,

$$\begin{gathered} ∆ABC=\frac{1}{2}\times AB\times CD \\ =\frac{1}{2}\times 4\times 6 \\ =12squnits \end{gathered}$$

Thus the correct answer is (b).