Find the in-radius (in cm) of an equilateral triangle whose sides are 6 cm each.
- A\sqrt{3}
- B2\sqrt{3}
- C3\sqrt{3}
- D4\sqrt{3}
Solution & Step-by-step Explanation
For an equilateral triangle with side length a, the formula for the in-radius (r) is given by:
r=
2
3
a
Given that side a=6 cm:
r=
2
3
6
=
3
3
=
3
cm
r=
2
3
a
Given that side a=6 cm:
r=
2
3
6
=
3
3
=
3
cm