SOLUTION: How do I know what kind of triangle it will form from it's length measurements? Acute, Right, or Obtuse? 1) 4cm, 4cm, 4cm 2) 3cm, 4cm, 5cm 3) 5cm, 11cm, 12cm

Question 146185: How do I know what kind of triangle it will form from it's length measurements? Acute, Right, or Obtuse?
1) 4cm, 4cm, 4cm
2) 3cm, 4cm, 5cm
3) 5cm, 11cm, 12cm
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
1. All sides are equal, thus by theorem all angles are equal. So 3s=180, s=60. This is acute.
2. Look at the Pythagorean Theorem. a^2+b^2=c^2. Do these sides fit? 3^2+4^2=9+16=25.. sqrt(25)=5, yes. Thus it must be a right triangle.
3. The inequality relation must be met if this is an obtuse triangle.
5^2+11^2=25+121=136<144. Thus it must be an obtuse triangle.
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