Question

the angles of a triangle are in the ration 1:2:3.Find the angles.

Answer 1

Answer:

The Sum of 3 sides of triangle is 180°.

Let's assume 1 as X, 2 as 2X and 3 as 3X respectively.

So X+2X+3X= 180°

or, 6X=180°

or, X= 180°/6

● X = 30°

● 2X= 2×30°= 60°

● 3X= 3×30°= 90°

THEREFORE, THE ANGLES ARE 30°, 60° & 90°.

Answer 2

The ratio of angles in a triangle is given to be 1:2:3

We have to find all the three angles

Now, let the three angles be x, 2x, and 3x

 we know that the sum of all the angles in a triangle is 180°

Therefore, sum of x, 2x and 3x will be 180

x + 2x + 3x = 180

           6x = 180

               x = 180/6

               x = 30

2x = 2 × 30

   = 60

3x = 3 × 30

   = 90

Hence, the three angles will be 30°, 60°, and 90°