For a triangle with sides of 11 , 2 , 12 and is the triangle right, acute, or obtuse.
In a triangle, if the square of the length of the longest side is greater than the sum of the squares of the other two sides, then it is an obtuse triangle. If the square of the length of the longest side is equal to the sum of the squares of the other two sides, then it is a right triangle. If the square of the length of the longest side is less than the sum of the squares of the other two sides, then it is an acute triangle.
In this case, the longest side is 12. Calculating the squares of the other two sides:
11^2 = 121
2^2 = 4
121 + 4 = 125
Since 125 is greater than 12^2 = 144, this is an obtuse triangle.