Respuesta :

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Let "a", "b" and "с"  be sides of the triangle ("с" is the longest side). The triangle will be:
right if       a² + b² = c²
аcute if     a² + b² > c²    
obtuse if   a² + b² < c²    

We have a=9, b=10 and c=12

a² + b² = 9² + 10² = 81 + 100 = 181
and
c² = 12² = 144

181 > 144   ⇒  аcute triangle.

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