1 / 14

5.1 Special Right Triangles

5.1 Special Right Triangles. Hypotenuse. LEG. LEG. What you should already know…. Right triangles have one 90 o angle The longest side is called the HYPOTENUSE It is directly across from the 90 o The other sides are called LEGS. Pythagorean Theorem.

akiko
Download Presentation

5.1 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. 5.1Special Right Triangles

  2. Hypotenuse LEG LEG What you should already know… • Right triangles have one 90o angle • The longest side is called the HYPOTENUSE • It is directly across from the 90o • The other sides are called LEGS

  3. Pythagorean Theorem • The sides of a right triangle satisfy this theorem: a2 + b2 = c2 Hypotenuse LEG

  4. Vocabulary • 45-45-90 Triangle: • In a 45-45-90 triangle, the hypotenuse is times as long as each leg.

  5. Hints for 45-45-90 • Leg to Hypotenuse: MULTIPLY by • Hypotenuse to Leg: DIVIDE by Hypotenuse = LEG LEG LEG

  6. Example 1: • Find the value of x. a) b)

  7. Vocabulary • 30-60-90 Triangle: • In a 30-60-90 triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as the shorter leg.

  8. How do you know which is the shorter leg and which is the longer leg??? • We know that the hypotenuse is directly across from the 90O angle. • The shorter leg is across from the smaller angle (30o) • The longer leg is across from the larger angle (60O)

  9. 30-60-90 30o Hypotenuse Longer Leg 60o Shorter Leg

  10. Hints for 30-60-90 • Shorter Leg to Hypotenuse: MULTIPLY by 2 • Hypotenuse to Shorter Leg: DIVIDE by 2 • Shorter Leg to Longer Leg: MULTIPLY by • Longer Leg to Shorter Leg: DIVIDE by You always want to work with the Shorter Leg…it makes it easier!

  11. 30o 60o 30-60-90 Longer Leg = Shorter Hypotenuse = 2Shorter Shorter Leg

  12. Example 2: • Find the values of x and y.

  13. You Try: • Find the value of each variable. 1) 2)

  14. Homework • P. 153 #1-13all

More Related