Question

The angle of a triangle are in the ratio 2 : 1 : 3. then, the triangle is right angled triangle.

• A. True
• B. False

Answer 1

The correct option is A True

The angles of the triangle are in ratio $2:1:3$
Let the angles be $2x,x,3x$
$2x+x+3x=180$ .........Sum of all angles of a triangle is ${180}^o$
$6x=180$
$\therefore x=30$
Thus, angles are ${30}^{\circ },{60}^{\circ },{90}^{\circ }$
The triangle is a right angled triangle.