Homework 2 Special Right Triangles Powerpoint

Presentation on theme: "Special Right Triangles 45:45:90 Right Triangles."— Presentation transcript:

1 Special Right Triangles 45:45:90 Right Triangles

2 45:45:90 Relationship Given: A square with side=4, find the length of the diagonal. 45º 4 4 4 4 x

3 Given: A square with side=10, find the length of the diagonal. 45º 10 x 45:45:90 Relationship

4 Conclusion 1 45º 1 - The sides opposite the 45º angles are 1 - The side opposite the 90º angle is - The ratio of the sides of a 45:45:90 right triangle is

5 Remember, the 45-45-90 triangle always has the same ratio for its sides: Remember the relationship the sides have with the angles! The smallest side is across from the smallest angle! Since 45 is the smallest angle, then the 1 goes across from it! Since 90 is the largest angle, then the radical 2 goes across from it! Page 27

6 Page 28 Multiply by 4

7 Page 28 Multiply by 3

8 Page 28 Multiply by 7

9 Page 28 Multiply by 5

10 Page 28

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17 Homework Page 29 Examples on top of page: #3,4 Exercises on bottom of page: #1,3,7,8,9 Separate Sheet

18 Page 29

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Presentation on theme: "8.2 Special Right Triangles"— Presentation transcript:

1 8.2 Special Right Triangles

2 Theorem 8.5 45-45-90 Triangle Theorem
In a triangle, both legs are congruent and the length of the hypotenuse is time the length of a leg.Hypotenuse= x leg454590

3 Example #1Find the vale of each variable9094545x

4 Practice #1Find the value of each variable454590

5 Theorem 8.6 30-60-90 Triangle Theorem
In a triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is times the length of the shorter leg.Hypotenuse= 2 x shorter legLonger leg= x shorter leg309060

6 Proof of602s2s60602s

7 ExampleFind the value of the variable305f6090d

8 Classwork/Homework Pgs 428-429 #1-8, 15, 21, 22


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