00:01
This problem says if one number of the pythagorean triplet is 9, then find the triplet.
00:06
And to be able to do this, we're going to look at our first triplet that is commonly known, which is 3, 4, and 5.
00:13
And the reason this is a pythagorean triplet is because it satisfies the formula a squared plus b squared equals c squared, where our 3 and 4 would be our a and b, so that's 3 squared, which is 9, b squared, which would be 4, 16, equal to c squared, which is the 5, so 5 squared to 25, and 9 plus 16 is 25, so that would be a pythagorean triplet.
00:34
And this is the one we're going to work with because the next triplet that has the lowest number values that we could work with is 5, 12, and 13.
00:43
And what we want to do is multiply these original triplets by a whole number to hopefully make 9 show up...