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Special Right Triangles Georgia Performance Standards for Mathematics 2 (MM2G1) Determine the lengths of sides of 30°-60°-90° and 45°-45°-90 triangles

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Special Right Triangles 45, 45, 90 30, 60, 90

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The name represents the degree measurements 45°, 45°, 90°30°, 60°, 90°

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Today: Were just going to focus on 45°, 45°, 90° Triangles

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Before we get into the math of 45°, 45°, 90° triangles… PAUSE Can anyone think of an example of a 45 °, 45 °, 90 ° triangle in daily life??

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Any Sport Fans or Athletes?

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Field Goal kicker

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http://www.youtube.com/watch?v=xoI1-3rfyL8

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Any Sandwich eaters??

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Do you cut your sandwiches in half?? If you do… then you would have two 45°, 45°, 90° sandwich halves.

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Other Examples Paper Footballs American money Bridges Wheelchair ramps

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Question: So… besides sports and sandwiches Whats so special about 45°, 45°, 90° triangles?? Well class, Im glad you asked!

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45°,45°, 90° triangles They are the ONLY isosceles right triangle! – Which means – It is the only right triangle with TWO equal sides and TWO equal angles. – This is important when measuring the length of the sides

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Recall: The Pythagorean Theorem states: If right triangle has sides of length a and b and hypotenuse of c, then a 2 + b 2 = c 2

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In Reference to a 45°,45°, 90°, we see:

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For every 45°,45°, 90° triangle 1

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a

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Important Facts to Remember:

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Any Questions about 45°,45°, 90° Triangles?

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Next Lesson 30°, 60°, 90° Triangles 2 1

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