How We Classify Triangles by Their Angles

We can sort triangles into three main types based on their angles:

1. Acute Triangle:

   • What it is: This triangle has all three angles that are less than 90 degrees.
   • Example: An acute triangle might have angles of 30 degrees, 60 degrees, and 80 degrees.
   • Fun Fact: About 60% of all triangles are acute, making them very common!

2. Right Triangle:

   • What it is: This triangle has one angle that is exactly 90 degrees—a perfect corner!
   • Example: In a right triangle, the other two angles must add up to 90 degrees because they need to balance out the right angle.
   • Fun Fact: Around 30% of triangles are right triangles. They are often used in building and measuring things.

3. Obtuse Triangle:

   • What it is: This triangle has one angle that is greater than 90 degrees.
   • Example: An obtuse triangle might have angles like 120 degrees, 30 degrees, and 30 degrees.
   • Fun Fact: Only about 10% of triangles are obtuse, making them the rarest type.

Knowing how to classify these triangles helps us solve geometry problems and understand their properties better.