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anonymous

  • 5 years ago

sorry mertsj. This is what i need help with, but also those others. In △PQR, what is the length of line segment QR? Right triangle PQR with PR measuring 42 and angles P and R measure 45 degrees. Answer 21radical 2 42radical 2 21 42radical 3

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  1. anonymous
    • 5 years ago
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    |dw:1326906930128:dw|

  2. anonymous
    • 5 years ago
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    Can you please go step by step??

  3. Mertsj
    • 5 years ago
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    You need to learn that this is one of the special right triangles. The 45-45-90. In this triangle, the hypotenuse is the leg multiplied by sqrt2

  4. Mertsj
    • 5 years ago
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    |dw:1326907065096:dw|

  5. anonymous
    • 5 years ago
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    ok. But we do not have a leg length so what do we do?

  6. Mertsj
    • 5 years ago
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    |dw:1326907328468:dw|

  7. anonymous
    • 5 years ago
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    ok. so it is |dw:1326907235271:dw|?

  8. Mertsj
    • 5 years ago
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    Yes. Now simplify

  9. Mertsj
    • 5 years ago
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    |dw:1326907365798:dw|

  10. anonymous
    • 5 years ago
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    wait. why do you multiply by sqrt of 2/sqrt of 2????

  11. Mertsj
    • 5 years ago
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    To get the radical out of the denominator because a radical in the denominator is not considered simple form.

  12. anonymous
    • 5 years ago
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    oh ok. so the answer would be 21sqrt 2?

  13. Mertsj
    • 5 years ago
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    yes

  14. anonymous
    • 5 years ago
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    ok can i post another in this so i can possibly try and you can tell me if i am correct?>

  15. Mertsj
    • 5 years ago
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    yes

  16. anonymous
    • 5 years ago
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    ok here In △JKL, what is the length of line segment KL? Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. Answer 33radical 2 33radical 3 16.5 66

  17. anonymous
    • 5 years ago
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    |dw:1326907561782:dw|

  18. anonymous
    • 5 years ago
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    see this is a 30-60-90. what do i do to find the other leg?

  19. Mertsj
    • 5 years ago
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    This is the other special right triangle. Everything is related to the short leg which is the leg opposite the 30 degree angle.

  20. Mertsj
    • 5 years ago
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    short leg times 2 = hypotenuse short leg times sqrt3 = long leg

  21. anonymous
    • 5 years ago
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    so 33sqrt3?

  22. Mertsj
    • 5 years ago
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    yes

  23. anonymous
    • 5 years ago
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    oh okkkkkk...thanks..i may have on emore im not sure ok?

  24. Mertsj
    • 5 years ago
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    ok

  25. anonymous
    • 5 years ago
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    A ladder leans against a house at a 60° angle to the ground. If the ladder extends to a length of 132 inches, what is the height of the house to the nearest hundredth of an inch? House with a ladder measuring 132 inches forming a right triangle. The base angle formed by the ladder is 60 degrees.

  26. anonymous
    • 5 years ago
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    this makes no sense

  27. Mertsj
    • 5 years ago
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    |dw:1326908043640:dw|

  28. Mertsj
    • 5 years ago
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    It is the same triangle but this time we know the hypotenuse and have to find the long leg.

  29. Mertsj
    • 5 years ago
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    First, find the short leg. What is it?

  30. anonymous
    • 5 years ago
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    66?

  31. Mertsj
    • 5 years ago
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    Yes. Now find the long leg. What is it?

  32. anonymous
    • 5 years ago
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    66sqrt3?

  33. Mertsj
    • 5 years ago
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    Good job!!

  34. anonymous
    • 5 years ago
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    but it says the nearest hundreth of an inch...

  35. Mertsj
    • 5 years ago
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    Well then pick up you calculator and multiply sqrt3 by 66 and round to the nearest hundredth

  36. Mertsj
    • 5 years ago
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    114.32

  37. anonymous
    • 5 years ago
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    oh ok thankssss so much! i will be back soon ok? you have helped alot and i appreciate it

  38. Mertsj
    • 5 years ago
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    I have to go work out now anyway.

  39. anonymous
    • 5 years ago
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    wait! i have one last question!!!! how do you find the short leg if the give you the long leg?

  40. Mertsj
    • 5 years ago
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    Well, if you multiply the short leg by sqrt3 to get the long leg, then you should divide the long leg by sqrt3 to get the short leg.

  41. anonymous
    • 5 years ago
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    merts are you back???

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