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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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Presentation on theme: "Special Right Triangles Georgia Performance Standards for Mathematics 2 (MM2G1) Determine the lengths of sides of 30°-60°-90° and 45°-45°-90 triangles."— Presentation transcript:

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

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

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

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

5 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??

6 Any Sport Fans or Athletes?

7 Field Goal kicker

8

9 Any Sandwich eaters??

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

11 Other Examples Paper Footballs American money Bridges Wheelchair ramps

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

13 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

14 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

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

16 For every 45°,45°, 90° triangle 1

17 a

18 Important Facts to Remember:

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

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


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