Question

8.
The area of the triangle formed by the line x+3y=12 and the coordinate axes is
(a) 12 sq units
(b) 18 sq units
(c) 24 sq units
(d) 30 sq units​

Answer 1

Answer:

Answer:–

→ Area of a triangle=24sq units

Given:–

It is given that,

The line is,

$x + 3y = 12$

As we know that,

Area of a triangle formed by the line and the coordinate axes is,

∆=$\frac{ {c}^{2} }{2 |ab| }$

∆=$\frac{144}{2 |3| }$

∆=$\frac{144}{6}$

∆=$24sq \: units$

So, The area of a triangle=24sq units