1 / 2

Section 5.5: Special Right Triangles

Section 5.5: Special Right Triangles. Theorem 5.5.1 (45-45-90 Theorem) In a triangle whose angles measure 45 , 45 and 90, the hypotenuse has a length equal to the product of 2 and the length of either leg. Ex.1 p.250. Theorem 5.5.2(30-60-90 Theorem)

chavez
Télécharger la présentation

Section 5.5: Special 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. Section 5.5: Special Right Triangles • Theorem 5.5.1 (45-45-90 Theorem) In a triangle whose angles measure 45, 45 and 90, the hypotenuse has a length equal to the product of 2 and the length of either leg. Ex.1 p.250 • Theorem 5.5.2(30-60-90 Theorem) In a triangle whose angles measure 30, 60 and 90, the hypotenuse has a length equal to twice the length of the shorter leg, and the length of the longer leg is the product of 3 and the length of the shorter leg. Proof p. 251 Section 5.5 Nack

  2. The Converse Theorems • Theorem 5.5.3: If the length of the hypotenuse of a right triangle equals the product of 2 and the length of either leg, then the angles of the triangle measure 45, 45 and 90. • Theorem 5.5.4:If the length of the hypotenuse of a right triangle is twice the length of one leg of the triangle, then the angle of the triangle opposite that leg measures 30. Ex. 4, 5,6 p. 252-254 Section 5.5 Nack

More Related