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# 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

side AB ≅ side PQ
, and if
side AC ≅ PR
, and
∠A > ∠P
, then
side BC > side QR
.

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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