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Showing posts with the label in geometry statement of theorem

Theorems in geometry

Theorem :- Basic Proportionality Theorem ( BPT )  If a line parallel to one side of a triangle interests the other two sides in two distinct points,  then the line divides the other two sides in proportion. Theorem :- Converse of Basic Proportionality Theorem If a line divides two sides of a triangle in the same ratio, then the line is parallel to the third side. Theorem  of Pythagoras :- In a right angled triangle ,  the  square  of the hypotenuse is equal to the sum of the squares of the other two sides. Converse of Pythagoras Theorem :- In a triangle ,  if the square of one side  is equal to the sum of the squares of the remaining two sides , then the angle opposite to the first side is a right angle and the triangle is a right angled triangle. Theorem of 30° 60° 90°   Triangle   If the angles of a triangle are 30°, 60° and 90°, then the side opposite to 30° is half of the hypotenuse an...