SAS Inequality

A relatively simple principle called SAS inequality lets us solve triangles without actually doing any complicated math. Let''s see how it works:

What is SAS inequality?

SAS stands for "side-angle-side." Here''s how SAS inequality works:

If one triangle has two sides that are congruent to the two sides of a second triangle

And:
If the first triangle has an angle that is greater than the angle of the second triangle

Then:
We know that the third side of the first triangle must be longer than the third side of the second triangle.

Here''s what that looks like:


Based on the above triangles, the equation for SAS inequality is simple:

If

, and if , and , then .

Okay, so it''s not that simple of an equation. But it''s still very handy for solving triangles.

Topics related to the SAS Inequality

Triangles

Complementary Angles

sss Inequality

Flashcards covering the SAS Inequality

Basic Geometry Flashcards

Common Core: High School - Geometry Flashcards

Practice tests covering the SAS Inequality

Common Core: High School - Geometry Diagnostic Tests

Intermediate Geometry Diagnostic Tests

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