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The angles of a triangle are in the ratio of 1 : 2 : 3. What will be the radian measure of the largest angle of the triangle ?
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- π/2
- π/3
- π/4
- 2π/3
- π/2
Correct Option: A
As we know that Sum of all angles of a traingle = 180°
The ratio of angles of a triangle = 1 : 2 : 3.
∴ Sum of ratios = 1 + 2 + 3 = 6
| ∴ Largest angle = | × 180° = 90° | |
| 6 |
∵ 180° = π radian
| ∴ 90° = | × 90° | = | radian | ||
| 180 | 2 |
