Triangle Classification: Identifying an Obtuse Angle from a Geometric Diagram

Question

Does the diagram show an obtuse triangle?

Video Solution

Solution Steps

00:00 Determine whether the triangle is an obtuse-angled triangle
00:03 The triangle has a right angle, therefore it's a right triangle and not obtuse
00:06 This is the solution

Step-by-Step Solution

To find out whether the depicted triangle is obtuse, let's recall the definition: an obtuse triangle has one angle that measures more than 9090^\circ.

In the diagram provided, we can see a triangle formed by lines drawn from the corners of what visually exists as a right angle, delineated by perpendicular segments. The prominent line bisecting these seemingly perpendicular segments does not suggest any expansion beyond each vertical or horizontal alignment inherent in the right angle setup.

Nevertheless, observe the vertex that connects these aligned angles: their linear combination and spatial property depiction give no notice of expansion over 9090^\circ.

Analyzing the configuration directly or using the properties of straight lines and angle calculations yields no evidence for an angle exceeding 9090^\circ. Therefore, the angles shown collectively correspond to a right triangle, indirectly confirmed via its geometric balance among straight, equal line segments.

Therefore, the diagram does not illustrate any feature of an obtuse triangle.

Consequently, the answer to the question "Does the diagram show an obtuse triangle?" is No.

Answer

No