 # Similar Triangles in Circles and Right Triangles

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More Lessons for High School Regents Exam

Math Worksheets

High School Math based on the topics required for the Regents Exam conducted by NYSED.

Similar Triangles in Circles and Right Triangles : Two triangles in a circle are similar if two pairs of angles have the same intercepted arc. Sharing an intercepted arc means the inscribed angles are congruent. Since these angles are congruent, the triangles are similar by the AA shortcut.
If an altitude is drawn from the right angle in a right triangle, three similar triangles are formed, also because of the AA shortcut.

Similar Right Triangles
Geometry - Right Triangle Similarity, Geometric Mean
This video shows what the geometric mean is and how it is applied to similar right triangles. Right triangle similarity examples are demonstrated with and without formulas.

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