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| Pythagoras' Theorem |
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| In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. |
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| ABC is a triangle with
ÐBAC = 90o. |
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| BC2 = AB2 + AC2. |
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| On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively. |
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| Draw AMN parallel to BE meeting BC at M and DE at N. |
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| Join FC and AE. |
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| If the square on one side of a triangle is equal to the sum of the squares on the other two sides, the angle contained by these two sides is a right angle. |
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| In DABC, if BC2 = AB2 + AC2 then,
ÐA is a right angle. |
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