Geometric Analysis: Identifying Acute Triangles from Diagrams

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

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Step-by-step video solution

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00:00 Determine whether the triangle is acute-angled
00:03 According to the drawing, this angle appears to be right angled (90°)
00:12 Proceed to mark the other angles as A,B
00:20 The sum of angles in a triangle equals 180 degrees
00:28 Isolate the remaining angles
00:42 The 2 angles are less than 90 degrees which is consistent with a right angle triangle
00:47 The triangle is right-angled, and this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

2

Step-by-step solution

To solve this problem, we need to determine if the triangle depicted is an acute-angled triangle.

An acute-angled triangle is defined as a triangle where all internal angles are less than 9090^\circ.

Upon observing the triangle in the drawing, it appears that each of its angles is less than 9090^\circ. The shape of the triangle does not present any right angles (9090^\circ) or angles greater than 9090^\circ.

Thus, based on the visual inspection and understanding of triangle properties, the triangle appears to be acute-angled.

Therefore, the solution to the problem is Yes, the triangle is an acute-angled triangle.

3

Final Answer

Yes

Practice Quiz

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In a right triangle, the side opposite the right angle is called....?

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