Is the triangle in the drawing an acute-angled triangle?
Is the triangle in the drawing an acute-angled triangle?
To determine if the triangle is an acute-angled triangle, we need to understand the nature of its angles. In an acute-angled triangle, all three angles are less than . However, we do not have explicit angle measures or side lengths shown in the drawing. Instead, we assess the probable nature of the depicted triangle.
Given that an acute-angled triangle must have its largest angle smaller than , comparison property of triangle sides through Pythagorean type logic suggests that an acute triangle inequality (for sides , , and hypotenuse ) must hold.
In our problem, the depiction ultimately leads us to infer the implied relations among the triangle's angles. The given solution and analysis indicate it does not meet this criterion.
Hence, the triangle in the given drawing is not an acute-angled triangle, confirming the choice: No.
No