How to know if a Triangle is Obtuse?
A triangle can be determined if it is Obtuse or not by just following any of the methods discussed below.
Method 1: If at least any two angles of the triangle are given then by triangle sum property we can find the third angle of the triangle and finally observing the three angles of the triangle and looking for the obtuse angle we can tell whether the triangle is obtuse or not.
Method 2: If the three side lengths of a triangle are given, then the triangle is said to be obtuse if the sum of the squares of the smaller sides is less than the square of the longest side. If the sides of a triangle are a, b, and c, and c is the longest side, the triangle is said to be obtuse if a2 + b2 < c2.
Obtuse Angled Triangle
Obtuse angle triangles are triangles in which one angle of the triangle measures greater than 90 degrees. As the name suggests one angle of an obtuse angle triangle is an obtuse angle. A triangle is a closed, two-dimensional geometric figure with three angles, and the sum of all the angles of a triangle is 180 degrees. On the basis of a measure of angles, we divide the triangle into three categories i.e.
- Right Triangle
- Acute Triangle
- Obtuse Triangle
Now, let’s learn more about obtuse angled triangles, their properties, formulas, examples, and others in detail in this article.
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