In Geometry (Class 9 - Quadrilaterals and Triangles), the Mid-Point Theorem is one of the most important proofs. It reveals a fascinating relationship between the sides of a triangle.
Theorem applies to: Triangles.
Condition: The points must be the exact mid-points of two sides.
Result 1: The joined line is parallel to the third side.
Result 2: The joined line is exactly half the length of the third side.
The theorem states that: "The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it."
Imagine a triangle ABC.
According to the Mid-Point Theorem, two magical things happen to this new line segment DE:
The reverse is also true. If you draw a line from the mid-point of one side (D), parallel to the base (BC), it will automatically hit the exact mid-point of the third side (E).
The mid-point theorem states that the line segment connecting the mid-points of two sides of a triangle is parallel to the third side and is exactly half of its length.
How to Convert 400 cm to Meters
Learn how to convert 400 cm to meters easily. Master the metric system formula for converting centimeters to meters with step-by-step examples.
How to Write 400 in Roman Numerals?
Learn how to write the number 400 as a Roman numeral. Discover the subtraction rule used in ancient Roman mathematics.
How Much is 400 Million in Crores?
Convert 400 million to crores. Learn the straightforward mathematical formula to switch between millions and crores.
Prime Factorisation of 529
Learn the prime factorisation of 529. 529 = 23 × 23 = 23². So √529 = 23. Step-by-step factor tree for Class 8 Maths.
57.36 in Standard Form — 5.736 × 10¹
57.36 in standard form (scientific notation) is 5.736 × 10¹. Move the decimal one place left. Full explanation with steps and examples.
Turn this guide into revision flashcards, a practice exam, or an AI-generated podcast — free, no signup required.