In △ ABC, ∠ C = 90 ° if C = M & # 178; + n & # 178;, B = M & # 178; - N & # 178; (M > 0, n > 0), then a =?
a²=c²-b²
=(m²+n²)²-(m²-n²)²
=m^4+2m²n²+n^4-(m^4-2m²n²+n^4)
=4m²n²
therefore
a=2mn
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