Triangle Angles Analysis: Multiple Obtuse Angles Possibility

Question

Can a triangle have more than one obtuse angle?

Video Solution

Solution Steps

00:00 Determine whether a triangle can have more than one obtuse angle
00:03 According to the drawing, we can observe that it's impossible and needs another side
00:06 Now the triangle would become a quadrilateral, therefore it's impossible
00:09 This is the solution

Step-by-Step Solution

If we try to draw two obtuse angles and connect them to form a triangle (i.e: only 3 sides), we will see that it is not possible.

Therefore, the answer is no.

Answer

No