Visual Mathematics: Determining Triangle Angle Types

Question

Is the triangle in the drawing an acute-angled triangle?

Video Solution

Solution Steps

00:03 Let's find out if the triangle has all acute angles.
00:07 First, look at each angle in the triangle.
00:11 Oops, this angle is more than 90 degrees, so it's obtuse. This means the triangle can't be acute-angled.
00:17 And that's the conclusion to our problem!

Step-by-Step Solution

To determine if the triangle is an acute-angled triangle, we must check if all of its interior angles are less than 9090^\circ.

Given the diagram of the triangle, it is important to notice the general layout and orientation of the sides. The base is horizontal and the apex points upwards, which is typical of large triangles.

An acute-angled triangle would require all the internal angles to be strictly less than 9090^\circ. From the diagram, if we consider the longest side of the triangle, the inclination of the sides suggests that the angles at the base may approach or exceed 9090^\circ.

Without specific numerical measures for sides or angles, if the visual interpretation shows angles that may not be explicitly less than 9090^\circ, one might argue the presence of one angle possibly being 9090^\circ or larger, which would suggest the triangle is not acute.

This deductively implies that based on a visual or geometric examination, and understanding traditional formations from geometry, the triangle does not fit the criteria of being acute-angled.

Therefore, the solution to this problem is No.

Answer

No