State Pythagoras theorem and its converse.
Question:

State Pythagoras theorem and its converse.

Solution:

TO STATE: Pythagoras theorem and its converse.

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.

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

CONVERSE OF PYTHAGORAS THEOREM: In a triangle, if the square of one side is equal to the sum of the square of the other two sides then the angle opposite to the greatest side is a right angle.