anonymous
  • anonymous
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?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
It's 20 right?
anonymous
  • anonymous
nope
anonymous
  • anonymous
Can you help? please?

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anonymous
  • anonymous
just apply Pythagorean theoram
anonymous
  • anonymous
I get 29.7
anonymous
  • anonymous
...and it isn't an option...
anonymous
  • anonymous
anonymous
  • anonymous
I just need help with the concept so I can do the 24 other questions on my own...
ujjwal
  • ujjwal
Do you have a diagram?
anonymous
  • anonymous
No, there isn't one provided...the options are 20 25 41 50
ujjwal
  • ujjwal
|dw:1341768017319:dw|Should it be like this?
anonymous
  • anonymous
now the possible answer is 20
anonymous
  • anonymous
I guess @ujjwal
anonymous
  • anonymous
beacause the altitude can't be more than length of hypotnese
anonymous
  • anonymous
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.
anonymous
  • anonymous
So 41 divided is 20? What? :O
anonymous
  • anonymous
No, it is meant like this: |dw:1341768231089:dw| No, but the square root of (16 times 25) is 20. AFAIK.
anonymous
  • anonymous
So whenever I come across a probllem like this I just multiply the two hypotenuses and square the solution to get my answer?
anonymous
  • anonymous
no, you multiply the two parts of the one hypothenusis and then take the sqare root of it.
anonymous
  • anonymous
Okay, thanks! :)I understand now :)
anonymous
  • anonymous
Great! Happy to help.

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