Question

the angles of a triangle are in the ratio 1:2:3 , Find them​

Answer 1

Answer:

• Angles are 30° , 60° , 90°

Step-by-step explanation:

Given

• Angles of a triangle are in the ratio 1 : 2 : 3

To find

• All the angles of the triangle

Solution

Let the angles be = 1x , 2x , 3x (x is any number)

Then, 1x + 2x + 3x will be equal to 180°, called the angle sum property.

• 1x + 2x + 3x = 180°
• 6x = 180°
• x° = 180°/6
• x° = 30°

The angles are :

• 1x = 1(30) = 30°
• 2x = 2(30) = 60°
• 3x = 3(30) = 90°

Verification

• 1x + 2x + 3x = 180°
• 30° + 60° + 90° = 180°
• 90° + 90° = 180°
• 180° = 180°
• L.H.S = R.H.S