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Right Angled Triangle, Pythagoras Theorem

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In a right-angled triangle, the angles other than the right angle are

PYTHAGORAS THEOREM : In a Right angled triangle; the square of hypotenuse is equal to the sum of the squares of the other two sides.

State and prove the Pythagoras theorem.

Using the Pythagoras theorem,find the length of the hypotenuse of a right-angled triangle whose sides are 40cm and 9cm.

Without using the Pythagoras theorem, show that the points (4," "4) , (3," "5) and (1," "1) are the vertices of a right angled triangle.

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.