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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.
`\text{hypotenuse}^2=\text{perpendicular}^2+\text{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.
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