The height of a regular triangle is 6cm. find the radius of the inscribed and circumscribed circles.

In a regular (equilateral) triangle, the radii of the inscribed (r) and circumscribed (R) circles can be found by knowing the height (h) of the triangle.
Inscribed circle radius:
r = h / 3;
r = 6/3 = 2 (cm).
Radius of the circumscribed circle:
R = 2h / 3;
R = 2 * 6/3 = 12/3 = 4 (cm).
Answer: r = 2 cm, R = 4 cm.

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