What is triangle diameter?

The diameter of a triangle is a line that passes through the midpoint of one side of the triangle and is perpendicular to the opposite side. It is also called the circumdiameter of the triangle as it is the diameter of the circumcircle that passes through all three vertices of the triangle. The length of the diameter can be found using the Pythagorean theorem and the formula:

diameter = a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the opposite angles. The diameter of a triangle is important in geometry for solving problems related to circles inscribed within or circumscribed around the triangle.