Question

State Pythagoras theorem and its converse.

Answer 1

SOLUTION :  

PYTHAGORAS THEOREM :  

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 other two sides, then the angle opposite to the side is a right angle.

HOPE THIS ANSWER WILL HELP YOU ..

Answer 2

WHAT IS PYTHAGORAS THEOREM ?

Pythagoras Theorem states that the square of the hypotenuse of a right-angled triangle is equals to the sum of squares of other two sides.

${hypotenuse }^{2} = {base}^{2} + {perpendicular}^{2}$

CONVERSE OF PYTHAGORAS THEOREM :-

It states that if square of one side of a triangle is equals to the sum of square of other two sides then that triangle must be a right- angled triangle.

Both the Theorems can be proved by concept of similarities of Triangles.