1 / 9

Chapter 7.3 Notes: Use Similar Right Triangles

Chapter 7.3 Notes: Use Similar Right Triangles. Goal: You will use properties of the altitude of a right triangle. Theorem 7.5 : If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.

latoyaw
Télécharger la présentation

Chapter 7.3 Notes: Use Similar Right Triangles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 7.3 Notes: Use Similar Right Triangles Goal: You will use properties of the altitude of a right triangle.

  2. Theorem 7.5: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. Ex.1: Identify the similar triangles in the diagram.

  3. Identify the similar triangles. Then find the value of x. Ex.2: Ex.3:

  4. Geometric Mean: • Theorem 7.6 Geometric Mean (Altitude) Theorem: In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of the lengths of the two segments.

  5. Ex.4: Find the value of the variable.

  6. Theorem 7.7 Geometric Mean (Leg) Theorem: In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

  7. Ex.5: Find the value of y. Write your answer in simplest radical form. Ex.6: Solve for x and y. x y 4 5

  8. Ex.7: Solve for x and y. 4 x y 12 Ex.8: Solve for x, y, and z. x y 12 16 z

  9. Ex.9: The diagram below shows a cross-section of a swimming pool. What is the maximum depth of the pool?

More Related