The height of a regular triangle is h. Find the radii of the inscribed and circumscribed circles.
| August 5, 2021 | education
In a regular triangle, the centers of the inscribed and circumscribed circles are the intersection point of the medians (bisectors, heights, since they coincide).
The medians are divided by the intersection point in a ratio of 2: 1, counting from the top. In this case, the larger segment of the height is the radius of the circumscribed circle, and the smaller one is the inscribed.
r = h / 3.
R = 2h / 3.
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