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Beyond Pythagoras The numbers 3, 4 and 5 satisfy the condition: 3² + 4²= 5² Because 3 Because 3²= 3x3 =9 4²= 4x4 =16 5²= 5x5 =25 and so..... 3² + 4²=9 + 16= 25 = 5² I will now find out each of the following sets of numbers satisfy a similar condition of: (Smallest number) ² + (Middle number) ² = (largest number) ² a) 5, 12, 13 5²+12² = 25+144 = 169 = 13² b) 7, 24, 25 7²+24² = 49+576 = 625 +25² I also had to find the perimeter and area of (3, 4, 5) (5, 12, 13) (7, 24, 25) Perimeter and area of (3, 4, 5) triangle: Perimeter = 3+4+5= 12units Area=3 x 4 ÷2=6 Perimeter and area of (5,12,13) triangle: Perimeter = 5+12+13 = 30 Area = 5 x 12 ÷ 2 = 30 Perimeter and area of (7,24,25) triangle: Perimeter = 7+24+25 = 56 Area = 7 x 24 ÷ 2 = 84 Here is a table containing the results: N Length of Smallest...

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