Triangle Classification: Determining if a Triangle is Acute-Angled

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

To determine if the triangle in the drawing is acute, we must evaluate the angles formed by its lines:

• The illustration consists of a triangle with a right angle formed between a vertical and a horizontal line.
• By definition, an acute-angled triangle is one where all three interior angles are less than 90 degrees.
• However, a right triangle has one angle precisely equal to 90 degrees.

In this case, the triangle is a right triangle formed by perpendicular lines (vertical and horizontal lines meet at a right angle). Thus, this triangle contains a 90-degree angle.

Because one of the angles is exactly 90 degrees, the triangle is not an acute-angled triangle.

Therefore, the correct conclusion is that the triangle in the drawing is not acute.

No, the triangle in the drawing is not an acute-angled triangle.