Question

Find the length of the longest side of the triangle formed by the line $3x+4y=12$ with the coordinate axes.

Answer 1

$3x+4y=12$

$\frac{x}{4}+\frac{y}{3}=1$

Vertices of the triangle formed are (4,0), (0,3) and (0,0).

The longest side is the hypotenuse joining (4,0) and (0,3).

Therefore, its length = 5 units