Question

Relation between median and side of equilateral triangle

Answer 1

The altitude, median, angle bisector, and perpendicular bisector for each side are all the same single line. ... All three of the lines mentioned above have the same length of s3√2 s 3 2 . The area of an equilateral triangle is s23√4 s 2 3 4 .

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Answer 2

Every triangle has exactly threemedians, one from each vertex, and they all intersect each other at thetriangle's centroid. In the case of isosceles and equilateral triangles, amedian bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a medianextends to tetrahedra.