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State and prove Pythagrous theoremState and prove Converse of Phythagoras theorem |
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Answer» Pythagoras theorem states that “In a right-angled TRIANGLE, the square of the hypotenuse side is equal to the sum of squares of the other two SIDES“. The sides of this triangle have been named as PERPENDICULAR, Base and Hypotenuse. Here, the hypotenuse is the LONGEST side, as it is opposite to the angle 90°.The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. That is, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle. |
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