Question

Find the type of the triangle formed - by the graphs of the equation $2x+y=4$ and $y-2x=4$ and the $x$-axis :

• A. Equilateral triangle
• B. Right-angled triangle
• C. Isosceles triangle
• D. Scalene triangle

Answer 1

Answer: (D)

Scalene triangle

Both the lines intersect at $(0,4)$.

The equation $2x+y=4$ touches X-axis at $(-1,0)$ and Y-axis at $(0,4)$.

Equation $y-2x=4$ touches X-axis at $(2,0)$ and Y-axis at $(0,4)$.

And it makes a triangle in which all sided are of different length.

Hence, it forms an scalene triangle.