Question 1146157
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A triangle is a right triangle if {{{c^2 = a^2+b^2}}}<br>
Given that requirement, if the side lengths are integers, then c has to be odd and exactly one of a and b has to be odd.<br>
Since the given side lengths are all odd, you can tell it is not a right triangle without doing any calculations.<br>
Depending on your level of knowledge, you might not understand that explanation.  So let's make it a little easier.<br>
a and b are both odd, so a^2 and b^2 are both odd; then c^2 = a^2+b^2 is odd plus odd equals even.  But c is odd so c^2 is odd.<br>
So the side lengths can't all be odd integers.