The length of the radius of a circle inscribed in an equilateral triangle is
To find:
The length of the radius of the triangle.
Given:
The length of the radius of a circle inscribed in an equilateral triangle is 7 inch.
Calculation:
Consider a circle of radius 7 inch inscribed in an equilateral triangle.
We need to find the radius of the triangle, that is OB.
By properties of polygon, we know that OD is the perpendicular bisector of OD.
Therefore,
Since OB is the radius of triangle ABC, OB bisects
Therefore
In triangle ODB,
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