45-45-90 and 30-60-90 5-26-09 Sia IMP3.

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Presentation transcript:

45-45-90 and 30-60-90 5-26-09 Sia IMP3

Today’s Agenda Bell ringer Hand back HW and quizzes 45-45-90 triangles Supplemental Assignment: due Friday, May 29th

Announcements ACT session this Saturday in room 208 from 8am-10am EC due next Friday, June 5th # of students who completed HW4 3rd period: 14 out of 23 (61%) 4th period: 9 out of 17 (53%) 5th period: 13 out of 17 (76%) Class average on last week’s quiz 3rd period: 38/50 = 76% 4th period: 42/50 = 84% 5th period: 39/50 = 78%

45-45-90 triangles As you saw on your bell ringer, if two angles of a triangle are equal, then the sides opposite them are equal in length. For right triangles, when this happens, it’s called a 45-45-90 triangle.

For ANY 45-45-90 triangle… For any 45-45-90 triangle, instead of using Pythagorean Theorem, you can determine the lengths of the side by… BOO-BOO-BOO ROOT 2 BOO√ 2 BOO BOO

Examples: 5 89 5 89

Try these… For a 45-45-90 triangle, find the following: A leg is 10 feet long A leg is 34 meters long The hypotenuse is inches long The hypotenuse is cm long The hypotenuse is 6 feet long