Section 8.4 Special Right Triangles VERY VERY VERY VERY IMPORTANT SAT SECTION.

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Presentation transcript:

Section 8.4 Special Right Triangles VERY VERY VERY VERY IMPORTANT SAT SECTION

Draw the following. 1) D raw a right triangle. 2) T he remaining angles are 45o. 3) O ne leg has a length of 4. 4) F ind the missing lengths. Use Pythagorean Theorem and your mind! 5) H INT: You have two congruent angles! 45 o 4 4

Draw the following. 1) Draw a right triangle. 2) The remaining angles are 45 o. 3) One leg has a length of 17. 4) Find the missing lengths o

Draw the following. 1) Draw a right triangle. 2) The remaining angles are 45 o. 3) One leg has a length of. 4) Find the missing lengths. 45 o

What is the formula? 45 – 45 – 90 Triangle a a

Practice Problem #1 a a a = 8 x = 8 o o o o

a a Practice Problem #2 x y o o 45 o 8 WORK BACKWARDS!

Draw the following. 1) Draw a right triangle. 2) The remaining angles are 30 o and 60 o. 3) One leg has a length of 7 (opposite of 30 o ). 4) The hypotenuse is 14. 5) Find the missing leg length. 30 o 60 o 7 14

Draw the following. 1) Draw a right triangle. 2) The remaining angles are 30 o and 60 o. 3) One leg has a length of 11 (opposite 30 o ). 4) The hypotenuse is 22. 5) Find the missing leg length. 30 o 60 o 11 22

Draw the following. 1) Draw a right triangle. 2) The remaining angles are 30 o and 60 o. 3) One leg has a length of Opp of 30 o. 4) Find the missing length. 30 o 60 o

o o What is the formula? 30 – 60 – 90 Triangle a 2a

Practice Problem #3 WORK BACKWARDS! o a 2a o 8 = 2a a = 4 which is y so y = 4

PRACTICE Page 301 Page 301 Classroom Exercises Classroom Exercises #1 – 9 #1 – 9