Discussion
If the angles, in degrees, of a triangle are x, 3x + 20 and 6x, the triangle must be
Answer: A
The triangle must be obtuse.
The angles of a triangle add up to 180°:
\[ \begin{aligned} x + (3x + 20) + 6x &= 180 \\ 10x &= 160, \quad x = 16 \end{aligned} \]
The angles are 16°, 3(16) + 20 = 68° and 6(16) = 96°. One angle is greater than 90°, so the triangle is obtuse.
It is not acute (which needs all angles under 90°) or right (which needs a 90° angle). It is not isosceles either, since all three angles are different.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development