The triangle#653
In Euclidean geometry, triangles can be divided into three types based on their angles. A triangle is called acute if all three of its angles are less than degrees. A triangle is called obtuse if one of its angles is greater than degrees. Finally, a triangle is called right if one of its angles is equal to degrees.
A single line contains three positive integers , , and separated by spaces, representing the lengths of the sides of a triangle. (1 \leq A, B, C \leq 10000)
Print one of the following words:
IMPOSSIBLE – if such a triangle does not exist;
ACUTE – if the triangle is acute;
OBTUSE – if the triangle is obtuse;
RIGHT – if the triangle is right.
Example 1
Example 2
Example 3
Example 4