What is Obtuse Triangle?

An obtuse-angled triangle is a triangle in which among the internal angles measures an ext than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, climate the amount of the continuing to be two angle is much less than 90°.

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Here, the triangle alphabet is one obtuse triangle, together ∠A measures more than 90 degrees. Since, ∠A is 120 degrees, the sum of ∠B and also ∠C will be much less than 90° degrees.

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

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

Hence, if one angle of the triangle is obtuse, then the other two angle with constantly be acute.


Some instances of obtuse triangles:

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Non-examples that obtuse triangles:

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Special facts around obtuse triangle:

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

A triangle can not be right-angled and also obtuse angled in ~ the exact same time. Since a right-angled triangle has one best angle, the other two angles space acute. Therefore, an obtuse-angled triangle deserve to never have actually a ideal angle; and also vice versa.

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

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Obtuse angled triangle in real life:

In our surroundings, we deserve to find numerous examples that obtuse triangles. Right here are some examples:

Triangle shaped roofs

Hangars uncovered in cupboards


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