Discover the length and coordinates of a triangle's midsegment instantly with our easy-to-use calculator. Perfect for students and professionals, this tool simplifies geometry problems by applying the triangle midsegment theorem. Just input the vertices and get precise results quickly!
Formula:
Let a triangle have vertices A(x1, y1), B(x2, y2), and C(x3, y3). We will calculate the midsegment connecting the midpoints of sides AB and AC, which is parallel to side BC.
The midpoints are:
MAB = ((x1 + x2)/2, (y1 + y2)/2)
MAC = ((x1 + x3)/2, (y1 + y3)/2)
The length of side BC (LBC) is calculated as:
LBC = √((x3 - x2)2 + (y3 - y2)2)
The length of the midsegment (LM) is half the length of side BC:
LM = 0.5 × LBC