In an isosceles right triangle (45-45-90), if the legs have length a, then the hypotenuse is a times the square root of 2.
In a 30-60-90 right triangle, if the short leg has length x, then the hypotenuse has length 2x and the long leg is x times the square root of 3. See attached notes and proof. We figured this out from our warm-up.
We practiced simplifying radicals, went over our homework with questions, looked at the proof again and thought about how we could reproduce it ourselves.
HW #8 - p 471:14-17 (Pythagorean Theorem, show work), p 477:1-6 (shortcuts, use notes, no work shown), and p 482:1,4. Make sketches and use PT to solve.
All make-up tests have been taken. I will distribute the originals and answer documents next block and let students figure out their mistakes and ask questions.