The lateral edges of the SABC pyramid are equal to each other. SD is the height of the pyramid.
| May 6, 2021 | education
The lateral edges of the SABC pyramid are equal to each other. SD is the height of the pyramid. Point D is the midpoint of edge BC. Triangle ABC: rectangular, acute-angled, obtuse
Since the side edges of the pyramid are equal, the apex of its pyramid is projected into the center of the circle described around the triangle ABC.
Point O is the middle of the side BC, therefore, the side BC is the diameter of the circumscribed circle, which means that the triangle ABC is rectangular with a right angle BAC.
Answer: The ABC triangle is rectangular.
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