SOLUTION: what kind of triangle (acute, obtuse, or right) is radical 73, radical 66, radical 8

Question 250699: what kind of triangle (acute, obtuse, or right) is radical 73, radical 66, radical 8
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We need the Pythagorean theorem:
(i) a^2 + b^2 = C^2.
There are really three choices:
If a^2 + b^2 < C^2 then obtuse
If a^2 + b^2 = C^2 then right
If a^2 + b^2 > C^2 then acute
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The numbers given must be expressed from least to greatest: sqrt(8), sqrt(66), and sqrt(73). Put them into (i) and find out which of the three we get.
(sqrt(8))^2 + (sqrt(66))^2 ? (sqrt(73))^2
8 + 66 ? 73
74 > 73.
So we say acute.
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