Question

The triangle has angles in ratio 2 : 3 : 4. Classify the triangle.

• A. Scalene acute angled triangle
• B. Isosceles obtuse angled triangle
• C. Isosceles right angled triangle
• D. Scalene Obtuse angled triangle

Answer 1

The correct option is A Scalene acute angled triangle

Let the angles be 2x, 3x and 4x.
Using angle sum property we get:
$2x+3x+4x=180°9x=180°x=20°2x=2\times 20°=40°3x=3\times 20°=60°4x=4\times 20°=80°$
As all angles are unequal so all sides will be also unequal so it is scalene triangle.
Also, all it's angles are less than 90 degree, so it is acute angled triangle.