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?
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Pac1f1cIslander
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It's 20 right?
theyatin
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nope
Pac1f1cIslander
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Can you help? please?
theyatin
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just apply Pythagorean theoram
Pac1f1cIslander
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I get 29.7
Pac1f1cIslander
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...and it isn't an option...
Pac1f1cIslander
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@Hero
Pac1f1cIslander
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I just need help with the concept so I can do the 24 other questions on my own...
ujjwal
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Do you have a diagram?
Pac1f1cIslander
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No, there isn't one provided...the options are
20
25
41
50
ujjwal
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|dw:1341768017319:dw|Should it be like this?
theyatin
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now the possible answer is 20
Pac1f1cIslander
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I guess @ujjwal
theyatin
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beacause the altitude can't be more than length of hypotnese
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.
Pac1f1cIslander
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So 41 divided is 20? What? :O
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.
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?
rix
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no, you multiply the two parts of the one hypothenusis and then take the sqare root of it.
Pac1f1cIslander
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Okay, thanks! :)I understand now :)
rix
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Great! Happy to help.