Which of the following best describes the triangle ofsides 2 , 3 and 11 ?(A) Right angled (B) Acute(C) Obtuse (D) Does not exis

To determine the type of triangle formed by sides 2, 3, and 11, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, let's check if the triangle inequality holds for the given sides:

• Side 2 + Side 3 = 2 + 3 = 5
• Side 11 is greater than the sum of the other two sides (2 + 3 = 5)

Since the sum of the two smaller sides (2 and 3) is less than the length of the longest side (11), the triangle inequality is not satisfied. Therefore, a triangle with sides 2, 3, and 11 does not exist.

Hence, the correct answer is (D) Does not exist.