Similarity in Right Triangles

Relationships in similar right triangles when drawing altitudes to the hypotenuse. Identify the three similar triangles formed and learn about the Geometric Mean concept in proportions.

• Geometry
• Similar Triangles
• Right Triangle
• Proportions
• Altitude

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Uploaded on Feb 16, 2025 | 0 Views

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Presentation Transcript

1. 7-4 Similarity in Right Triangles Objective: Find and use relationships in similar right triangles

2. When you draw the altitude to the hypotenuse of a right triangle, you form three pairs of similar right triangles.

3. What similarity statement can you write relating the three triangles in the diagram? is the altitude to the hypotenuse of right , so you can use Theorem 7-3. There are three similar triangles.

4. REMINDER: The middle two numbers in a proportion are the means. What is the Geometric Mean of 6 and 15?

7. 7-4 p. 465: 9-21 odd