Question

The measures of three angles of a triangle are in the ratio $1:2:3$. Then the triangle is

• A. Right angled
• B. Equilateral
• C. Isosceles
• D. Obtuse angled

Answer 1

Answer: (A)

Right angled

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