Obtuse Triangle Analysis: Visual Angle Measurement Challenge

Question

Does the diagram show an obtuse triangle?

00:00 Determine whether the triangle is an obtuse triangle

00:03 Draw a perpendicular to the side

00:11 Identify the right angle and compare it to our angle

00:14 Our angle is greater than 90° (obtuse), therefore the triangle is obtuse

00:19 This is the solution

To determine if the triangle in the diagram is obtuse, we will visually assess the angles:

Step 1: Identify the angles in the diagram. The triangle has three angles, with one angle appearing between the horizontal base and the left slanted side.
Step 2: Evaluate the angle between the base and the left side. If it opens wider than a right angle, it's considered obtuse. This angle seems to be greater than $90^\circ$ , indicating obtuseness.
Step 3: Conclude based on visual inspection. Since this key angle is greater than $90^\circ$ , the triangle must be an obtuse triangle.

Therefore, the solution to the problem is Yes; the diagram does show an obtuse triangle.

Yes