Triangle Inequality and Side Classifications

This animation tests sets of three lengths against the triangle inequality theorem, showing visually why the sum of any two sides must exceed the third for a triangle to form. It then classifies triangles by side length into scalene, isosceles, equilateral, and right triangles, the four types commonly tested on the ASVAB. Useful for students preparing for standardized tests and teachers introducing triangle properties in geometry class.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

Which set of lengths can form a triangle? Also add the 4 different types of triangle sides you can find on the ASVAB Color Scheme: #17271F #101B16 #5E6961 #D6EE59 #F5F6F1 #D9DFD3 Use lighter color for background. Audience: 13-18

Make your own version

Make the next one in this series

• Show how the triangle inequality theorem applies to real-world construction problems.
• Animate classifying triangles by their angles: acute, right, and obtuse.
• Create a step-by-step ASVAB practice problem using the triangle inequality theorem.