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Warm Up April 14th

Warm Up April 14th. What is the hypotenuse if the leg lengths are a = 6 and b = 4? Simplify . EOCT Week 13 #1. Solve for x . 45. x. 3. 3. Solve for x . 45. 3√2. x. X=3. Solve for x . 45. 3. x. 3=x√2. Special Right Triangles.

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Warm Up April 14th

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  1. Warm Up April 14th • What is the hypotenuse if the leg lengths are a = 6 and b = 4? • Simplify

  2. EOCT Week 13 #1

  3. Solve for x 45 x 3 3

  4. Solve for x 45 3√2 x X=3

  5. Solve for x 45 3 x 3=x√2

  6. Special Right Triangles You will be able to find the lengths of sides of special right triangles 30-60-90 And 45-45-90

  7. 45-45-90 Right Triangle x x

  8. 60 2a a 30 30-60-90 Right Triangle

  9. 30-60-90 Triangles The longer leg is _____ times bigger than the shorter leg. The hypotenuse is _____ times bigger than the shorter leg. The longer leg is √3 times bigger The hypotenuse is 2 times bigger than the shorter leg

  10. Just Watch Find the values of x and y. Give your answers in simplest radical form. 22 = 2x Hypotenuse = 2(shorter leg) 11 = x Divide both sides by 2. Substitute 11 for x.

  11. 60 20 x 30 y #1 You Try! 20=2x (hypotenuse is twice as big as shorter leg) 10=x Y=x√3 (long leg is √3 times bigger than shorter leg) Y=10√3

  12. Substitute for x. #2 You Try! Find the values of x and y. Give your answers in simplest radical form. Hypotenuse = 2(shorter leg) Divide both sides by 2. y = 27

  13. Just Watch Find the values of x and y. Give your answers in simplest radical form. Rationalize the denominator. y = 2x Hypotenuse = 2(shorter leg). Simplify.

  14. x 60 30 #1 You Try! y 21=x√3 (long side is √3 larger than short side) X= 21/√3……21√3/3……..7√3 Y=2x (hypotenuse is twice as big as short side) Y=2(7√3) Y=14√3

  15. #2 You Try! Find the values of x and y. Give your answers in simplest radical form. Rationalize the denominator. Hypotenuse = 2(shorter leg) x = 2y Simplify.

  16. Just Watch Find the values of x and y. Give your answers in simplest radical form. y = 2(5) y = 10 Simplify.

  17. 60 y 7 30 x You Try! X=7√3 (Long leg is √3 times larger than short side) Y=2(7) (Hypotenuse is twice as big as the short side) Y=14

  18. Special Triangles Summary Find the values of the variables. Give your answers in simplest radical form. 1.2. 3.4. x = 10; y = 20

  19. Finding an angle.(Figuring out which ratio to use and an inverse trig button.)

  20. 20 m ) 20 / 40 Tan-1 40 m Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. x Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

  21. 50 m 15 m ) 15 / 50 Sin-1 Ex: 2 Figure out which ratio to use. Find x. Round to the nearest tenth. x Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

  22. Ex. 3: Find . Round to the nearest degree. 17.2 9

  23. Ex. 4: Find . Round to the nearest degree. 7 23

  24. When we are trying to find a side we use sin, cos, or tan. When we are trying to find an angle we use (INVERSE) sin-1, cos-1,ortan-1.

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