Question

The area of the triangle formed by the lines x = 3, y = 4 and x = y is

(a) ½ sq. unit
(b) 1 sq. unit
(c) 2 sq. unit
(d) None of these

Answer 1

Given $x=3,y=4,x=y$

We have plotting points as $(3,4),(3,3)(4,4)$ when $x=y$

Therefore, area of $\Delta ABC=\frac{1}{2}(base\times height)$

$=\frac{1}{2}(AB\times AC)$

$=\frac{1}{2}(1\times 1)$

$=\frac{1}{2}$

$\therefore$ Area of $\Delta ABC=\frac{1}{2}$ square units