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Special Right Triangles 30:60:90 Right Triangles.

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Presentation on theme: "Special Right Triangles 30:60:90 Right Triangles."— Presentation transcript:

1 Special Right Triangles 30:60:90 Right Triangles

2 30:60:90 Relationship Given: Equilateral Triangle with side=2, find the altitude x 60º 30º

3 30:60:90 Relationship Given: Equilateral Triangle with side=4, find the altitude x 60º 30º

4 30:60:90 Relationship Given: Equilateral Triangle with side=10, find the altitude x 60º 30º

5 Conclusion º 30º 1 - The side opposite the 30º angle is half the hypotenuse - The side opposite the 60º angle is half the hypotenuse times - The ratio of the sides of a 30:60:90 right triangle is

6 Remember, the 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 30 is the smallest angle, then the 1 goes across from it! Since 90 is the largest angle, then the 2 goes across from it! Page 25

7 Page 26 Now, since the ratio is always the same, then what did we multiply by? Five! If we multiply one number in the ratio by 5, we multiply all of them by 5.

8 Page 26 Multiply by 10

9 Page 26 Multiply by 1

10 Page 26 Multiply by 15

11 Page 26 If you see this on the Regents and is a multiple choice question, compare decimals to the answer given.

12 Page 26 Multiply by 5

13 Page 26 Multiply by 8

14 Page 26 Multiply by 2

15 Page 26 Multiply by 3.5

16 Page 26 Multiply by 7.5

17 Page 26

18 Multiply by 7

19 Page 26 Multiply by 5

20 Page 26 Multiply by 4

21 Page 26 Multiply by 5

22 Page 26 Multiply by 4

23 Homework Page 26 #12,14,16,19 Separate Sheet

24 Page 26 AB C Multiply by 4

25 Page 26 Multiply by 5

26 Page 26 Multiply by 3 Multiply by 6

27 Page 26 Multiply by 6 Multiply by 12


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