Question 948327: The question is "Tell me if these given lengths will produce an acute, obtuse or right Triangle; 1.4,4,4 and 2. 2, 10, 11
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! 1. Equal sides are opposite equal angles.
The sum of the measures of the angles in a triangle is 180 degrees.
The 3 equal angle measures for this triangle are  .
A triangle with 3 equal length sides is an equilateral triangle.
All 3 angles measure 60 degrees.
All angles are acute, so it is an acute triangle.
2. If he triangle with sides measuring 2, 10, and 11 were a right triangle,
The sides measuring 2 and 10 would be the legs, and the hypotenuse would measure
So, since the longest side, measuring 11,
measures more than it would if opposite a right angle,
that long side is opposite a larger than right angle.
It is an obtuse angle, and the triangle is an obtuse triangle.
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