Consider the following statements : 1. In a triangle ABC, if A B C>0, then the triangle is an acute angled triangle. 2. In a triangle ABC, if A B C>0, then the triangle is an obtuse angled triangle. Which of the statements given above is/are correct?

NDA 2024 Mathematics question

Consider the following statements : 1. In a triangle , if , then the triangle is an acute angled triangle. 2. In a triangle , if , then the triangle is an obtuse angled triangle. Which of the statements given above is/are correct?

(A)1 onlyCorrect
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (A)

Solution

A triangle has at most one non-acute angle. If one angle is obtuse, its tangent and cotangent are negative while those of the other two angles are positive, making both products negative; if one angle is

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-029821