Side-Angle-Side (SAS) Triangle: Definition, Theorem & Formula


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question 1 of 3

For the image shown, which two sides and given angle describe SAS ?

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1. If the SAS theorem applies to two triangles, what can be said about the relationship between the two triangles?

2. Which formula is correct to calculate the area of the triangle shown?

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About This Quiz & Worksheet

The SAS theorem is a very particular mathematical theory, and this quiz will test you on multiple facets of it. Right triangles will be featured on the quiz.

Quiz & Worksheet Goals

This SAS theorem quiz tests your ability to:

  • Determine which two sides and angle describe SAS for a given image
  • Recall the relationship between two triangles if the SAS theorem applies
  • Recognize the formula needed to calculate the area of a given triangle
  • Understand if a statement about the height of a triangle is true or false
  • Remember the side opposite the right angle in a right triangle

Skills Practiced

  • Reading comprehension - draw from relevant information found in the lesson on side-angle-side triangles
  • Critical thinking - use this information to consider if a statement about the height of a triangle is true or false
  • Information recall - remember the knowledge you've learned regarding the SAS theorem

Additional Learning

If you are seeking more information regarding this topic, the lesson Side-Angle-Side (SAS) Triangle: Definition, Theorem & Formula. The lesson covers the following objectives:

  • Define included angle
  • Establish the base and height of triangles
  • Provide sample triangle to demonstrate finding the area