Expert: Ahmed Salami - 10/13/2004

Question
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Followup To
Question -
hello
a 90' triangle is supposed as ABC triangle,
A^=90'
a=line infront of A^ angle,
b=line infront of B^ angle,
c=line infront of C^ angle,
and a=2ac
*note: A triangle includes just three lines. i don't know what english man calls it. i say line

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B^=?
C^=?
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maybe it is difficult to understand what i asked but please be careful, then you understand what the question is, ok? I don't know if it's possible to send any picture.
thank you


Answer -
Hi Mojtaba,
I'm sorry about the delay. We had a technical problem around here.
I'm afraid your question is a bit ambiguous. It's obvious you're talking about a right-angled triangle. But the statement a = 2ac simply means that c = 1/2. If this is so, a and b could take an infinite amount of values, likewise B and C.
Feel free to get back to me on anything unclear.
Regards.
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Sorry! I've written a=2ac. but this is a mistake of typing! I ment a=2bc. Sorry about that. Please check the question again;
thank you.

Answer
Hi Mojtaba,
Even for a = 2bc, the situation is still ambiguous because a,b,c,B,C could take values from an infinite range.
If you make a sketch of the triangle, you'll see that
cos B = c/a
     = c/2bc = 1/2b
cos C = b/a
     = b/2bc = 1/2c
You can therefore see that both the values of B and C depend on b and c which are unknown at the moment. So without the values of b and c, B and C cannot be found.
Regards.