The base of the pyramid is a regular triangle, the side of which is 3 dm, one of the lateral edges is 2 dm
| December 9, 2020 | education
The base of the pyramid is a regular triangle, the side of which is 3 dm, one of the lateral edges is 2 dm, and perpendicular to the base find the radius of the described sphere.
The distance from the center of a regular triangle to any of its vertices is equal to two-thirds of its height, i.e.
3√3 / 2 * 2√3dm = √3dm.
The median perpendicular for the lateral rib crossing the above perpendicular to the plane will be at a distance
2dm / 2 = 1dm from the base plane.
Therefore, the first leg is √3dm, the second leg is 1dm, and the hypotenuse is √ (3 + 1) = √4 = 2dm.
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