Understanding Obtuse Triangles | Definition, Properties, and Examples

obtuse triangle

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

An obtuse triangle is a type of triangle that has one angle measuring greater than 90 degrees. In other words, it is a triangle with at least one “obtuse” or “wide” angle. The other two angles in an obtuse triangle are acute angles, measuring less than 90 degrees.

When classifying triangles based on angles, there are three main types: acute, right, and obtuse triangles.

– Acute Triangle: All three angles in an acute triangle are less than 90 degrees.
– Right Triangle: One angle in a right triangle is exactly 90 degrees.
– Obtuse Triangle: One angle in an obtuse triangle is greater than 90 degrees.

In an obtuse triangle, the longest side is always opposite the obtuse angle. The other two sides are shorter and connect to acute angles.

Here’s an example to illustrate an obtuse triangle:

\
|\
| \
| \
| \
|____\

In this example, the angle on the top-right corner would be the obtuse angle. The other two angles are acute angles. The longest side would be opposite the obtuse angle.

It is important to note that the sum of all three angles in any triangle always adds up to 180 degrees. In an obtuse triangle, the sum of the two acute angles will be less than 90 degrees, while the obtuse angle itself will be greater than 90 degrees.

More Answers:
Understanding Acute Triangles | Properties, Relationships, and Calculations
The Converse of the Pythagorean Theorem | How to Prove Triangle Rightness
Understanding the Triangle Inequality Theorem | A fundamental rule for determining valid triangles and side length relationships

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