Question

The angles of a triangle are in the ratio 1:2:3. Find the angles of this triangle.
What type of triangle is it?

Answer 1

Answer:

30°, 60° and 90°. Right-angled triangle.

Step-by-step explanation:

Let the ratio be x : 2x : 3x.

According to the angle sum property of triangle, the sum of all three angles of the triangle is 180°.

=> x + 2x + 3x = 180°

=> 6x = 180°

=> x = 180 ÷ 6

=> x = 30°

Hence, the angles are 30°, 60° and 90°.

It is a right-angled triangle.

Answer 2

Answer:

sum of angles in a triangle is 180

given angles are in the ratio 1:2:3

let the angles be 1x, 2x, 3x.

1x+2x+3x = 180

       6x    = 180

            x = 180/6

             x = 30

so angles of the triangle are 30,60 and 90

as there is a 90° angle, we can say that this triangle is a right triangle.