What is Obtuse Triangle?

An obtuse-angled triangle is a triangle in which one of the inner angles measures more than 90° degrees. In an obtuse triangle, if one angle measures an ext than 90°, then the amount of the remaining two angle is 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 amount of ∠B and ∠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 edge of the triangle is obtuse, climate the various other two angles with constantly be acute.


Some examples of obtuse triangles:

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Non-examples of obtuse triangles:

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Special facts about obtuse triangle:

An it is intended triangle can never be obtuse. Since an equilateral triangle has actually equal sides and angles, every angle steps 60°, i beg your pardon is acute. Therefore, an equilateral angle deserve to never be obtuse-angled.

A triangle cannot be right-angled and obtuse angled at the very same time. Due to the fact that a right-angled triangle has one appropriate 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 actual life:

In our surroundings, we deserve to find countless examples the obtuse triangles. Below are some examples:

Triangle shaped roofs

Hangars discovered in cupboards


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