OBTUSE TRIANGLE
Definition Of Obtuse Triangle
A triangle in which one of the angles is obtuse (more than 90° and less than 180°) is known as an Obtuse Triangle.
More About Obtuse Triangle
An obtuse triangle will have one obtuse angle and two acute angles.
Example of Obtuse Triangle
â–³PQR has one obtuse angle (∠Q). So, â–³PQR is an obtuse triangle.
Video Examples: The Obtuse Triangle
Solved Example on Obtuse Triangle
Ques: How many interior angles does an octagon have?
Choices:
A. Figure 1
B. Figure 3
C. Figure 2
D. None of these
Correct Answer: A
Solution:
Step 1: In Figure 1, one of the angles is more than 90° and hence Figure 1 represents an obtuse triangle.
Step 2: But Figure 2 represents acute triangle as all the angles are less than 90°
Step 3: Figure 3 represents right triangle as one of the angles is equal to 90°
Quick Summary
- One angle is obtuse.
- The other two angles are acute.
- The sum of all angles is 180°.
🍎 Teacher Insights
Use visual aids and hands-on activities to help students understand the concept of obtuse angles and triangles. Compare and contrast obtuse triangles with acute and right triangles.🎓 Prerequisites
- Triangles
- Angles
- Right Angles
- Acute Angles
Check Your Knowledge
Q1: Which of the following angle measures could be the angles of an obtuse triangle?
Q2: An obtuse triangle must have:
Frequently Asked Questions
Q: Can a triangle have more than one obtuse angle?
A: No, a triangle can only have one obtuse angle. If it had two, the sum of the angles would be greater than 180 degrees, which is not possible in Euclidean geometry.
Q: Is it possible for an obtuse triangle to also be an isosceles triangle?
A: Yes, it is possible for an obtuse triangle to be an isosceles triangle. The obtuse angle must be opposite the base.