Understanding obtuse triangles | angles, classifications, and characteristics

Obtuse Triangle

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

An obtuse triangle is a type of geometric shape that has one angle that is greater than 90 degrees. In other words, an obtuse triangle is a triangle where one of its angles is “obtuse,” or wider than a right angle.

In an obtuse triangle, the sum of all three angles is still 180 degrees, but one of the angles is larger than 90 degrees. The other two angles in an obtuse triangle are acute angles, meaning they are less than 90 degrees.

When classifying triangles based on their angles, there are three main types: acute, obtuse, and right triangles. An acute triangle has all three angles less than 90 degrees, a right triangle has one angle equal to 90 degrees, and an obtuse triangle has one angle greater than 90 degrees.

To identify an obtuse triangle, you can measure the angles with a protractor or use the given angle measures if provided. Generally, obtuse triangles have a noticeable “pointed” appearance as one angle pushes outward, opposite to the shorter sides.

It is important to note that the lengths of the sides in an obtuse triangle can vary, making it distinct from an isosceles or equilateral triangle, which have equal side lengths.

More Answers:
Understanding the Isosceles Triangle Theorem | Proof and Applications for Angle Measurements in Isosceles Triangles
Isosceles Triangle Theorem | Understanding the Converse and its Applications
Understanding Acute Triangles | Definition, Properties, and Examples

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