... 6 5, 12, 13 Perimeter = 5 + 12 + 13 = 30 Area = 1/2 x 5 x 12 = 30 7, 24, 25 Perimeter = 7 + 24 + 25 = 56 Area = 1/2 x 7 x 24 = 84 From the first three terms I have noticed the following: - 'a' increases by +2 each term 'a' is equal to the term number times 2 then add 1 the last digit of 'b' is in a pattern 4, 2, 4 the last digit of 'c' is in a pattern 5, 3, 5 the square root of ('b' + 'c') = 'a' 'c' is always +1 to 'b' 'b' increases by +4 each term ('a' x 'n') + n = 'b' From these observations I have worked out the next two terms. I will now put the first five terms in a table format. Term Number 'n' Shortest Side 'a' Middle Side 'b' Longest Side 'c' Perimeter Area 1 3 4 5 12 6 2 5 12 13 30 30 3 7 24 25 56 84 4 9 40 41 90 180 5 11 60 61 132 330 I have worked out formulas ...

See this essay or coursework document in full right now