Are Mid Point Theorem?

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

What is the proof of midpoint theorem?

Midpoint Theorem Proof

According to the Mid-Point Theorem, a segment connecting the mid-points of two sides of a triangle is parallel to the 3rd side and equal to half the 3rd side. Construction: Draw BA || CR to meet PQ generated at R. PQ = QR. (by law of Corresponding parts of Congruent triangles CPCT).

Is mid-point theorem applicable?

This is true for all types of triangles like acute-angled triangle, obtuse-angled triangle and right-angled triangle. Students can verify this theorem in different triangles, e.g., obtuse-angled triangle, right-angled triangle, equilateral triangles, scalene triangles.