The measures of the angles in a triangle are in the extended ratio 3 : 4 : 8. What are the measures of the angles?
Answer: The measures of angles are 36º, 48º and 96º.
Let us find the angles to this triangle.
Given that the angles in the triangle are in the ratio of 3 : 4 : 8.
Let the triangle be named as ABC and its angles be 3x, 4x and 8x.
By angle sum property of triangle,
⇒ 3x + 4x + 8x = 180º
⇒ 15x = 180º
⇒ x = 180º / 15
⇒ x = 12º
The measures of angles are:
- 3x = 3 × 12º = 36º
- 4x = 4 × 12º = 48º
- 8x = 8 × 12º = 96º