Great news! We will be upgrading our calculator and lesson pages over the next few months. If you notice any issues, you can submit a contact form by clicking here.

Side Angle Side Theorem

Side Angle Side Theorem Lesson

The Theorem for Congruence — SAS

Abbreviated as SAS, the side angle side theorem tells us:
If two triangles have two congruent sides and a congruent angle, then the triangles are congruent.

Let's look at theoretical triangles T1 and T2. T1 has two sides measured to be 3 and 5 long and an angle measured to be 90°. T2 also has two sides measured to be 3 and 5 long and an angle measured to be 90°. The SAS Theorem tells us that T1 and T2 must be congruent because they have two side lengths in common and an angle measurement in common.

INTRODUCING

When do we use the Side Angle Side Theorem?

The SAS Theorem is especially useful for saving time when finding the third side and other two angles of a triangle if there is a congruent triangle where those values are already known.

Learning math has never been easier.
Get unlimited access to more than 168 personalized lessons and 72 interactive calculators.
100% risk free. Cancel anytime.
Scroll to Top