Question

If the angles of a triangle are in the ratio 1 is to 2 is to 3 then find the value of largest angles

Answer 1

Given :

If the angles of a triangle are in the ratio 1 : 2 : 3

To find :

the value of largest angle

Solution :

Let the angles of triangle are x° , 2x° , 3x° respectively

Then , the sum of three angles of a triangle

→ 180°

➝ x + 2x + 3x = 180

➝ 6x = 180

➝ x = 180 / 6

➝ x = 30°

Then angles are x → 30°

2x → 2 × 30 = 60°

3x → 3 × 30 = 90°

Hence , the largest angles is 90°