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3/15 Bell Ringer. 6. Homework: pg 493 #1 – 6,9,11. √3. y. x. 12. These two triangles are similar. Use a proportion to solve for x and y:. Grab a bell ringer sheet from the front of the room!. 60 °. 1. 3/15 Agenda. I CAN find missing sides of 45-45-90 and 30-60-90 Triangles.
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3/15 Bell Ringer 6 Homework: pg 493 #1 – 6,9,11 √3 y x 12 These two triangles are similar. Use a proportion to solve for x and y: Grab a bell ringer sheet from the front of the room! 60° 1
3/15 Agenda • I CAN find missing sides of 45-45-90 and 30-60-90 Triangles. • 1. Bell Ringer • 2. Why is this a shortcut? • 3. Two examples to figure all of this out. • 4. Fix it up! • 5. ACT Question of the Day
News and Notes • Mr. Chrischilles’ Clicker • Perfection Award: 3rd Period • Hand in Bell Ringers from last week if you didn’t turn them in on Friday. • Hand in Hawkeye Makeup if you did it.
Where does this come from? • Where does 5√2 come from? • Let’s assume we want to find c if a and b = 5. • Pythagorean Theorem: a2+b2=c2 • 52 + 52 = c2 • 25 + 25 = c2 • 50 = c2 • C = √50
Example #1 6 45° • What type of triangle is it? • 45-45-90 • What do we know? Hyp = Leg x √2 C = a√2 Leg (a) = 6 • Find out: C = 6√2 • What if we knew c and wanted to find the legs? 6 C 45°
3 Example #2 60° B C • What type of triangle is it? 30-60-90 • What do we know? C = 2a B = a√3 a = 3 • Find out: C = 2(3) = 6 B = 3√3 • What if you only knew that c = 6. How would you find a and b? 30°
What do I do now? • If you were not here Friday, work on the 30-60-90 Independent Practice first, then check your 45-45-90 IP. • If you didn’t finish one of the Independent Practices, finish it now. • If you finished both, check your work, making sure you didn’t write answers as decimals. • If you finish all of this, get the bonus sheet from the front of the room and work on it • ALL WORK WILL BE HANDED IN AT THE END OF CLASS AND WILL BE GRADED FOR ACCURACY!!!
ACT Question of the Day • Find the value of x: • A. 2 • B. 4√3 • C. 4√2 • D. 8 • E. 2√3 x 60° 4 30° New grades are posted, check yours Homework: pg 493 #1 – 6,9,11