What is Obtuse Triangle?

An obtuse-angled triangle is a triangle in which one of the internal angles measures an ext than 90° degrees. In one obtuse triangle, if one edge measures much more than 90°, climate the sum of the remaining two angles is less than 90°.

You are watching: A triangle with 2 obtuse angles

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Here, the triangle abc is an obtuse triangle, as ∠A measures more than 90 degrees. Since, ∠A is 120 degrees, the sum of ∠B and also ∠C will certainly be less than 90° degrees.

In the above triangle, ∠A + ∠B + ∠C = 180° (because that the Angle sum Property)

Since ∠A = 120°, therefore, ∠B + ∠C= 60°.

Hence, if one angle of the triangle is obtuse, climate the other two angles with always be acute.


Some instances of obtuse triangles:

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Non-examples of obtuse triangles:

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Special facts about obtuse triangle:

An equilateral triangle have the right to never it is in obtuse. Since an it is provided triangle has actually equal sides and also angles, each angle procedures 60°, which is acute. Therefore, an equilateral angle deserve to never be obtuse-angled.

A triangle can not be right-angled and also obtuse angled at the exact same time. Due to the fact that a right-angled triangle has actually one ideal angle, the various other two angles are acute. Therefore, one obtuse-angled triangle can never have actually a appropriate angle; and also vice versa.

The next opposite the obtuse angle in the triangle is the longest.

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Obtuse angled triangles in real life:

In our surroundings, we have the right to find numerous examples that obtuse triangles. Here are some examples:

Triangle shaped roofs

Hangars uncovered in cupboards


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