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Beyond Pythagoras
Member rating: No Rating | Words: | Submitted: Fri Aug 22 2003
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BEYOND PYTHAGORAS Pythagoras theorem states that in a right angled triangle, a² + b² = c², this can also be interpreted as (shortest side) ² + (middle side) ² = (longest side) ². Two sets of numbers that satisfy the theorem are 5, 12, 13 and 7, 24, 25. 5² + 12² = 13² 7² + 24² = 25² 25 + 144 = 169 49 + 576 = 625 The perimeter of a triangle is calculated using a + b + c. The area of a triangle is calculated using 1/2 x a x b. The perimeters and areas for the triangles above are: PERIMETER - 5 + 12 + 13 = 30 7 + 24 + 25 = 56 AREA - 1/2 x 5 x 12 = 30 1/2 x 7 x 24 = 84 Below is a table of side length, area and perimeter for Pythagorean triples that start with ODD numbers. TERM LENGTH OF LENGTH OF LENGTH OF PERIMETER AREA ...
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