Understanding Obtuse Triangles: How to Identify and Calculate their Angles

obtuse triangle

An obtuse triangle is a triangle that has one angle greater than 90 degrees

An obtuse triangle is a triangle that has one angle greater than 90 degrees. In other words, it is a triangle with an obtuse angle.

To determine if a triangle is obtuse, you need to find the measures of all three angles and check if any angle exceeds 90 degrees.

Let’s say we have a triangle with angle A, angle B, and angle C. If any one of these angles is greater than 90 degrees, then the triangle is considered obtuse.

For example, if angle A measures 100 degrees, angle B measures 45 degrees, and angle C measures 35 degrees, then angle A is greater than 90 degrees, making the triangle an obtuse triangle.

It is important to note that the sum of the angles in any triangle is always 180 degrees. Therefore, if you are given the measures of two angles in a triangle, you can easily determine the measure of the third angle by subtracting the sum of the given angles from 180 degrees.

For instance, if angle A measures 60 degrees and angle B measures 70 degrees in a triangle, you can find the measure of angle C by subtracting the sum of the given angles (60 + 70 = 130 degrees) from 180 degrees. Thus, angle C measures 180 – 130 = 50 degrees.

In conclusion, to determine if a triangle is obtuse, you need to check if any one of its angles measures greater than 90 degrees. Additionally, you can find the measure of the third angle if given the measures of the other two angles by subtracting their sum from 180 degrees.

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