... It is also used to determine certain trignometrical relationships such as sin² ? + cos² ? = 1. Pythagoras' theorem for right-angled triangles is likely to have been known long before the time of Pythagoras as it was probably used by the ancient Egyptians to lay out the pyramids. A diagram of Pythagoras' theorem. A Pythagoras triple are 3 numbers that satisfy the condition of Pythagoras' theorem. A Pythagoras triplet is: (smallest number)² + (middle number)² = (largest number)² Such as 3,4 and 5. a² + b² = c² 3² + 4² = 5² 9 + 16= 25 5² = 25 so it's a Pythagoras triple. You can also use Pythagoras' theorem to work out the perimeter and are of a right - angled triangle. Perimeter = a + b + c Area = 1/2ab Perimeter = 3 + 4 +5 Area = 1/2 x 3 x 4 Perimeter = 12 units Area = 1/2 x ...

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