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Pac1f1cIslander

When an altitude is drawn to the hypotenuse of a right triangle, the lengths of the segments of the hypotenuse are 16 and 25. What is the length of the altitude?

  • one year ago
  • one year ago

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  1. Pac1f1cIslander
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    It's 20 right?

    • one year ago
  2. theyatin
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    nope

    • one year ago
  3. Pac1f1cIslander
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    Can you help? please?

    • one year ago
  4. theyatin
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    just apply Pythagorean theoram

    • one year ago
  5. Pac1f1cIslander
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    I get 29.7

    • one year ago
  6. Pac1f1cIslander
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    ...and it isn't an option...

    • one year ago
  7. Pac1f1cIslander
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    @Hero

    • one year ago
  8. Pac1f1cIslander
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    I just need help with the concept so I can do the 24 other questions on my own...

    • one year ago
  9. ujjwal
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    Do you have a diagram?

    • one year ago
  10. Pac1f1cIslander
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    No, there isn't one provided...the options are 20 25 41 50

    • one year ago
  11. ujjwal
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    |dw:1341768017319:dw|Should it be like this?

    • one year ago
  12. theyatin
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    now the possible answer is 20

    • one year ago
  13. Pac1f1cIslander
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    I guess @ujjwal

    • one year ago
  14. theyatin
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    beacause the altitude can't be more than length of hypotnese

    • one year ago
  15. rix
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    The correct answer is 20. In a rectangular triangle, when the hypotenuse is devided by the altitude x into two pieces I will call p and q, the following applies: \[h ^{2} = p q\] In German it is called altitude law of Euklid.

    • one year ago
  16. Pac1f1cIslander
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    So 41 divided is 20? What? :O

    • one year ago
  17. rix
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    No, it is meant like this: |dw:1341768231089:dw| No, but the square root of (16 times 25) is 20. AFAIK.

    • one year ago
  18. Pac1f1cIslander
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    So whenever I come across a probllem like this I just multiply the two hypotenuses and square the solution to get my answer?

    • one year ago
  19. rix
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    no, you multiply the two parts of the one hypothenusis and then take the sqare root of it.

    • one year ago
  20. Pac1f1cIslander
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    Okay, thanks! :)I understand now :)

    • one year ago
  21. rix
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    Great! Happy to help.

    • one year ago
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