Question

Measures of angles of a triangle are x, 2x, 3x (all in degrees). What type of triangle it is?

• A. Right angled triangle
• B. Obtuse angled triangle
• C. Equilateral triangle
• D. None of the above

Answer 1

The correct option is A Right angled triangle

The angles of a triangle are $x,2x,3x$.
Sum of angles of the triangle is ${180}^o$
Thus, $x+2x+3x={180}^o$
$⟹6x=180$
$⟹x=\frac{180}{6}$
$⟹x=30$
As $x=30$
The angles of the triangle are, ${30}^o$,${60}^o$ and ${90}^o$
Since, one of the angles of the triangle is ${90}^o$. It is a right angled triangle.
Since, all the angles of the triangle are different, Hence all the sides of the triangle will be different. Hence, it is a right angled scalene triangle.