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For an equilateral triangle, the ratio of the in-radius and the ex-radius is
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- 1 : 2
- 1 : √2
- 1 : 3
- 1 : √3
- 1 : 2
Correct Option: A
As we know that in equilateral triangle,
| In–radius = | |
| 2√3 |
| Circum–radius = | |
| √3 |
∴ Required ratio = In–radius : Circum–radius
| ∴ Required ratio = | : | ||
| 2√3 | √3 |
Required ratio = √3 : 2√3 = 1 : 2
