1 / 13

8.1: Right Triangles

8.1: Right Triangles. Pythagorean Theorem Properties of Special Right Triangles. What is the Pythagorean Theorem used for?. to find the length of a missing side in a right triangle. n. 5. 4. Pythagorean Theorem Formula. a 2 + b 2 = c 2. c represents the hypotenuse.

landry
Télécharger la présentation

8.1: 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. 8.1: Right Triangles Pythagorean Theorem Properties of Special Right Triangles

  2. What is the Pythagorean Theorem used for? • to find the length of a missing side in a right triangle n 5 4

  3. Pythagorean Theorem Formula a2 + b2= c2 c represents the hypotenuse a and b represent the legs

  4. a Leg Where is it located??? c Hypotenuse Always opposite of the 90 degree angle b Leg

  5. Remember!!! • The Pythagorean Theorem can ONLY be used on Right Triangles. • The Legs are ALWAYS the sides ADJACENT (next to) the 90 degree angle. • C is ALWAYS the Hypotenuse (the slant). • The Hypotenuse is ALWAYS opposite the 90 degree angle.

  6. h 2 4 What is the length of the hypotenuse in the triangle below? a2 + b2= c2

  7. h 2 4 Plug in the value for each variable in the formula. a2 + b2= c2 22 + 42= h2

  8. What is the length of the hypotenuse in the triangle below? h 2 4 a2 + b2 = c2 22 + 42 = h2 4 + 16 = h2 20 = h2

  9. What is the length of the hypotenuse in the triangle below? h 2 4 a2 + b2 = c2 22 + 42 = h2 4 + 16 = h2 20 = h2 = h 20 = h 2 5

  10. Try this one . . . Find the hypotenuse of the right triangle below? 4 6 h

  11. Find the hypotenuse of the right triangle below? 42 + 62 = h2 42 + 62 = h2 16 + 36 = h2 16 + 36 = h2 52 = h2 52 = h2 = h = h 52 52 7.21 = h 7.21 = h a2 + b2 = c2 4 6 h

  12. Try this one . . . What is the length of the missing leg in the triangle below? 5 3 a2 + b2 = c2 x

  13. Find the hypotenuse of the right triangle below? a2 + b2 = c2 32 + x2 = 52 5 3 9 + x2 = 25 -9 - 9 x x2 = 16 x = 16 x = 4

More Related