Isosceles Obtuse Triangles in Geometry

You've probably heard of isosceles triangles before, but what about isosceles obtuse triangles? In geometry, an obtuse triangle is a triangle with one obtuse angle, or an angle greater than 90 degrees. An isosceles obtuse triangle, then, is a triangle with one obtuse angle and two sides of equal length. Keep reading to learn more about the properties of isosceles obtuse triangles and how to identify them. 

Properties of Isosceles Obtuse Triangles

An isosceles obtuse triangle has several distinct properties that set it apart from other types of triangles. These properties include:

* One obtuse angle: As we mentioned before, all isosceles obtuse triangles have one angle greater than 90 degrees. This is what makes them obtuse triangles. 

* Two sides of equal length: All isosceles triangles have at least two sides of equal length, and isosceles obtuse triangles are no different. In fact, this is how you can tell an isosceles obtuse triangle apart from a regular obtuse triangle—by looking at the lengths of the sides. If two sides are equal in length, then you're dealing with an isosceles triangle. 

* The remaining side is longer than the other two: In addition to having two equal sides, all isosceles triangles also have a third side that's longer than the other two. This side is known as the "long" side or the "base" side. In an isosceles obtuse triangle, the long side will also be the side opposite the obtuse angle. 

* All angles add up to 180 degrees: Just like all other types of triangles, the three angles in an isosceles obtuse triangle will always add up to 180 degrees. 

Conclusion

An isosceles obtuse triangle has several distinct properties that set it apart from other types of triangles. These properties include: One obtuse angle, Two sides of equal length, The remaining longer than the others, All angles add up to 180 degrees. Now that you know a little bit more about isosceles obtuse triangle, maybe you'll be able to spot one the next time you see one!

FAQ

What is an isosceles triangle in geometry?

In geometry, an isosceles triangle is a triangle with two sides of equal length. The word "isosceles" comes from the Greek prefix "iso-", which means "equal", and the word "skelos", which means "leg".

How do you describe an obtuse triangle?

An obtuse triangle is a triangle with one obtuse angle, or an angle greater than 90 degrees. An obtuse triangle can also be described as a triangle with one acute angle and two obtuse angles.

How do you find the obtuse angle of an isosceles triangle?

To find the obtuse angle of an isosceles triangle, you will need to know the length of the two equal sides and the length of the long side. Once you have this information, you can use the Law of Cosines to calculate the obtuse angle.