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What is the midsegment formula for a triangle? The midsegment formula says that the midsegment DE connecting the sides AB and AC is parallel to the side BC and is half as long as: DE ∥ BC and |DE| = |BC| .
This can be done by drawing a perpendicular bisector on one side of the triangle. The point at which the bisector intersects the side is the midpoint of that side. Repeat this with the second side. Then, by connecting these two midpoints, a midsegment is created.
The Midsegment Theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. So, if D F is a midsegment of △ A B C , then D F = 1 2 A C = A E = E C and D F ‖ A C .
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Line segment 𝑥𝑦 is a line connecting two sides of a triangle. And it is parallel to the third side and half its length. Therefore, line segment 𝑥𝑦 must be a midsegment of the triangle 𝐴𝐵𝐶.
1:01 2:12 Midsegment of a Triangle | MathHelp.com - YouTube YouTube Start of suggested clip End of suggested clip Then it measures half the length of the third side. So the length of segment Q T equals half theMoreThen it measures half the length of the third side. So the length of segment Q T equals half the length of segment RS. Or 2y minus 6 equals half of 28 simplifying on the right side half of 28 is 14.
The Midsegment Theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. So, if D F is a midsegment of △ A B C , then D F = 1 2 A C = A E = E C and D F ‖ A C .
Midsegment Theorem: The segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side.
The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

midsegment theorem