8.08 Pythanorian theorem Monday March HW Odds in 8.8: 19-23, 37-47. Homeworks. Any problems? Long Pi poem. Have someone read it. Have someone read Poe. The pi memorization record in 2005. Pythagorean Theorem. The Joke. SKIP IT. Hero's Formula. Have them do square root calculations. ############################################### The Pythagorean Theorem Joke First explain the Pythagorean Theorem: The square of the hypotenuse, the long side of a right triangle, is equal to the sum of the squares of the other two sides, e.g., if other two sides are 3 and 4, so their squares sum to 9+16= 25, the square of the hypotenuse is 25 and the hypotenuse has length 5. Then tell the joke. Once there was an Indian chief named Big Hunter, who had a younger brother named Little Hunter and three squaws. The first squaw slept on a bearskin, the second squaw slept on a buffalo hide, and the third Squaw, who was named Hippolita, slept on a hippopotamus hide. (Big Hunter got his name because he was the only Indian who ever killed hippopotamus, or even saw one for that matter.) Alas, all of the squaws were barren and had no children. The first two squaws schemed to become the favorites, though, and jointly adopted a little baby boy. They boasted about that and shamed Hippolita for being inferior to them and their boy. One day, the whole family, including the brother, were in a canoe crossing the lake, when the buffalo-hide squaw stood up, which you should never do in a canoe. The bear-hide squaw stood up too, to match her bravery, but the boat started to tip over. "Save the baby, Little Hunter!" shouted Big Hunter, as he swam to save Hippolita. So the baby and Hippolita were saved, though not the other two squaws. The moral of the story: "The squaw of the hippopotamus is equal to the son of the squaws of the other two hides." ############################################################################# 10 AD – c. 70 AD Hero's Formula. Derivation here: https://byjus.com/maths/heron-formula/ s = half-perimeter= (a+b+c) / 2 Hero's formula: Area = square root of s(s-a)(s-b)(s-c). For the test, let them make up a one-page sheet of things to look at. ############################################### ##################################################