Geometric Analysis: Identifying Acute Triangles from Visual Data

Question

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

Video Solution

Solution Steps

00:03 Let's see if the triangle in the drawing is acute-angled.
00:08 In the drawing, all angles look less than 90 degrees, so they are acute.
00:14 That means the triangle is acute-angled. And that's how we find the solution!

Step-by-Step Solution

An acute-angled triangle is defined as a triangle where all three interior angles are less than 90∘90^\circ.

In examining the visual depiction of the triangle provided in the problem, we need to see if it appears to satisfy this property. The assessment relies on observing the triangle's structure shown in the drawing and noting any geometric indications suggesting angle types.

Given the information from the drawing, if all angles seem to satisfy the condition of being less than 90∘90^\circ, then by definition, the triangle is an acute-angled triangle.

Conclusively, the answer to whether the triangle is acute-angled based on provided visual assessment and inherent assumptions in its illustration is: Yes.

Answer

Yes

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