Iam giving 35 points to whomever answers which statement represents a crucial step to proving the pythagorean theorem using this diagram? a) the large square on the left contains two smaller squares. b) the area of the blue square is not equal to the area of the yellow square. c) the large square on the right contains a smaller square with side length c. d) both large squares have side lengths of b + a, so we can conclude that the large squares have the same area.

I believe the answer is D, but I'm not entirely sure.

Step-by-step explanation:

The Pythagorean theorem is A squared times B squared equals C squared. So your closest statement is D.

Let me know if I'm wrong

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for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for