1 / 5

Pythagorean Theorem Notes Absent Copy 3/11,12

Pythagorean Theorem Notes Absent Copy 3/11,12. Pythagorean Theorem a 2 + b 2 = c 2 Leg + Leg = Hypotenuse ( longest side ). 25 sq ft. 5 c. 3 9 sq ft. A. B 4 16 sq ft. Example 1. Use the Pythagorean theorem to find the missing side. a 2 + b 2 = c 2

wylie
Télécharger la présentation

Pythagorean Theorem Notes Absent Copy 3/11,12

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. Pythagorean TheoremNotesAbsent Copy3/11,12

  2. Pythagorean Theorem a2 + b2 = c2Leg + Leg = Hypotenuse (longest side) 25 sq ft. 5 c 3 9 sq ft. A B 4 16 sq ft.

  3. Example 1 • Use the Pythagorean theorem to find the missing side. a2 + b2 = c2 92 + 122 = c2 81 + 144 = c2 225 = c2 √225 = √c2 15 = c Solution • Is this a right triangle? Yes • What is the formula we use to solve for each side of a right triangle? • a2 + b2 = c2 • What is another name for the longest side “c”? • The Hypotenuse • After substituting the #’s and making an equation what do we do we do first? • We use GEMA and start with exponents. Then we add the like terms. • What inverse Op. do we use? • We use the inverse of exponents which is to square root both sides of = sign. 15

  4. Example 2 • Tell whether the given lengths form a right triangle. 5, 6, 11 a2 + b2 = c2 52 + 62 = 112 25 + 36 = 121 61 = 121 Both sides are not = Solution • Which # do you think will be the hypotenuse? Why is this important? • The 11 will be the hypotenuse because it is the largest # which goes with the longest side. • Does it matter what # we substitute for a and b? No it doesn’t really matter what # is substituted for A or B • What is the formula for a right triangle? • a2 + b2 = c2 • After substituting the #’s into the formula what do we do first? • We use GEMA and work out all the exponents. • What do we do next? • We add like terms and see if each side = each other. • Do these #’s make a right triangle? • NO both sides are not equal. Not a Rt triangle

  5. Example 3A ladder is placed against a vertical wall of a building. The bottom end of the ladder is 8 ft. from the base of the building and the length of the ladder is 17 ft. How high up the side of the building is the ladder leaning?a2+ b2 = c2 a2 + 82 = 172a2+ 64 = 289a2-64 = -64a2 + 0 = 225a2 = 225 √a2 = √225a = 15The ladder is leaning 15 ft. off the ground building

More Related