SOLUTION: All angels of a triangle are squared numbers. What are the angles? Could you show hoe to derive to the answer?

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Question 802969: All angels of a triangle are squared numbers. What are the angles? Could you show hoe to derive to the answer?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
start with the sum of the angles in a triangle equals 180, then
x^2 +y^2 +z^2 = 180
now look at the squares of the numbers 1 through 10
The square numbers are:
1 x 1 =  1
2 x 2 =  4
3 x 3 =  9
4 x 4 =  16
5 x 5 =  25
6 x 6 =  36
7 x 7 =  49
8 x 8 =  64
9 x 9 =  81
10 x 10 = 100
so our angles are 100, 64 and 16