Chief Delphi - Math Quiz 4

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Chief Delphi (http://www.chiefdelphi.com/forums/index.php)

- Math and Science (http://www.chiefdelphi.com/forums/forumdisplay.php?f=70)

- - Math Quiz 4 (http://www.chiefdelphi.com/forums/showthread.php?t=130175)

Ether

17-10-2014 18:10

Re: Math Quiz 4

Quote:

Originally Posted by ArtemusMaximus (Post 1404399)

I gave it a go, but I am stuck

I posted the solutions here:

http://www.chiefdelphi.com/media/papers/3053

ArtemusMaximus

20-10-2014 15:46

Re: Math Quiz 4

Quote:

Originally Posted by Ether (Post 1404827)

I posted the solutions here:

http://www.chiefdelphi.com/media/papers/3053

Can you elaborate on following statement:

Quote:

Angle RDF equals angle CDP equals angle LOC
because triangles CDP and LOC are similar

They are equal because they are similar, seem like a shaky foundation.

Ether

20-10-2014 16:37

Re: Math Quiz 4

Quote:

Originally Posted by ArtemusMaximus (Post 1405103)

Can you elaborate on following statement:

Quote:

angle CDP equals angle LOC
because triangles CDP and LOC are similar

They are equal because they are similar, seem like a shaky foundation.

Please re-read the statement more carefully. Triangles CDP and LOC are similar, therefore angles CDP and LOC are equal.

If you are questioning how to show that the two triangles are similar, please rephrase your question.

ArtemusMaximus

21-10-2014 15:47

Re: Math Quiz 4

Quote:

Originally Posted by Ether (Post 1405107)

I was not aware of the special meaning of "similar triangles" term (thanks for the link).
However, it is still not clear to me how process arrived to a logical conclusion that "triangles CDP and LOC are similar".

Ether

21-10-2014 15:54

Re: Math Quiz 4

Quote:

Originally Posted by ArtemusMaximus (Post 1405254)

it is still not clear to me how process arrived to a logical conclusion that "triangles CDP and LOC are similar".

Triangles CDP and LOC are both right triangles. And they share a common angle PCL. Therefore they are similar.

ArtemusMaximus

21-10-2014 16:08

Re: Math Quiz 4

Quote:

Originally Posted by Ether (Post 1405255)

Triangles CDP and LOC are both right triangles. And they share a common angle PCL. Therefore they are similar.

Thanks, that's the step I was missing
Now I know why there were so many lines and triangles on it: to confuse people. :)

Ether

21-10-2014 16:34

Re: Math Quiz 4

Quote:

Originally Posted by ArtemusMaximus (Post 1405256)

Now I know why there were so many lines and triangles on it: to confuse people. :)

Actually, no. The problem arose as a result of a real-world optics problem I was working on. It occurred to me it would make an interesting quiz for FRC students.

ArtemusMaximus

21-10-2014 17:36

Re: Math Quiz 4

Quote:

Originally Posted by Ether (Post 1405264)

Actually, no. The problem arose as a result of a real-world optics problem I was working on. It occurred to me it would make an interesting quiz for FRC students.

In this case it would be nice to know "real life" details. It would be a good example of math relevancy to real life.

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