(Solved): Every square number can be written as the sum of two triangular numbers. For example, 16=6 + 10 . T ...
Every square number can be written as the sum of two triangular numbers. For example, 16=6 + 10 . This can be represented geometrically by dividing a square array of dots with a line as shown. The triangular arrangement above the line represents 6, the one below the line represents 10 , and the whole arrangement represents 16 . Show how the square numbers 25 and 36 may I.kewise be geometrically represented as the sum of two triangular rumbers: Which of the following figures represents the square numbers 25 as the sum of two triangular numbers? A.
To represent the square number 25 as the sum of two triangular numbers, we need to find two triangular numbers whose sum is 25. One way to do this is by trial and error. We can start with the smallest triangular number, which is 1, and add the next triangular numbers until we find a sum of 25.