lesson
Using Similarity in Right Triangles: Geometric Mean
Derive and apply the geometric mean relationships between the altitude, segments of the hypotenuse, and the legs of a right triangle.
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Right Triangle Similarity and Geometric Mean
5 lessons
Goal
Use similarity in right triangles to prove the Pythagorean Theorem, derive and apply geometric mean relationships, and solve real-world similarity problems.
5 lessons
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- Proving the Pythagorean Theorem Using Triangle SimilarityUp next
- Altitude to the Hypotenuse: Three Similar Right TrianglesNot started yet
- Using Similarity in Right Triangles: Geometric MeanYou are here
- Solving Problems with Geometric Mean in Right TrianglesNot started yet
- Similarity in Real-World ApplicationsNot started yet
Learning standards covered
111.41(b)(8)(B)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeidentify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean, to solve problems.
Open Global Standard:OGM.11.GEO.4
111.41(b)(1)(F)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeanalyze mathematical relationships to connect and communicate mathematical ideas; and
Open Global Standard:OGM.11.GEO.1
OGM.11.GEO.4OGM.11.GEO.1