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neverforgetvivistee
HOW DO YOU KNOW WHICH SIDE THETA SHOULD BE ON??
IN A TRIANGLE
for basic trig ratios it does
i think. draw a picture and show me your triangle
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what's an easy way to figure out the opposite or adjacent?
The two sides making an angle are adjacent to the angle. The third side, the one that doesn't touch the angle, is the opposite side.
The adjacent leg is a non-hypotenuse side that shares the angle. For instance, \(\angle BAC\) has the adjacent side \(\overline{BA}\) and thus opposite side \(\overline{BC}\).
opposite is across from the angle and adjacent is the sides touching the angle.
but they're both touching the angle
but that's the hypotenuse?
opposite and adjacent sides are both touching the angle
That was a bad example. \(\overline{BC}\) is not touching \(\angle BAC\).
yakeyglee can you explain it for 5 year olds because i don't get what you typed
The adjacent leg is a non-hypotenuse side that shares the angle. For instance, ∠BAC has the adjacent side BA−−− and thus opposite side BC−−−.
please come back PLEASE!!!
Do you see how \(\overline{BC}\) is NOT touching \(\angle BAC\)?
<bac? the angle whole angle or just one part?
What do you mean just part of the angle? The angle formed by points B, A, and C, with A being the vertex. The angle at point A.
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However, we're considering just the angle part, not the sides itself. The actual angle part (where the bend is) is opposite \(\overline{BC}\), yes?
yes... but how do you know that bend part is the opposite? what about the other side where C is?
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That one is adjacent to \(\overline{BC}\) because it literally lies right next to \(\overline{BC}\).
Whereas \(\angle BAC\) does not.
so bc is where your angle lies? why not ba?
\(\overline{BC}\) is the leg next to \(\angle BCA\) so thus it is the adjacent side to \(\angle BCA\). The other leg (\(\overline{BA}\)) is NOT next to \(\angle BCA\) so therefore it is the opposite leg.
why is bca important? is it because it has the hypotenuse?
No, because it's an angle in the triangle that's not the right-angle!
huh?? what about bac?
please don't give up on me :( i have a huge test tomorrow and i'll get an F if i don't get this
Look at this picture and just memorize which sides correspond to which terms relative to the labeled angle. Beware that the letters are labeled slightly different in this picture than yours (so you must be able to identify which is which without angles and sides labeled -- if someone points to an angle in a right triangle, you should be able to say which is the adjacent and which is the opposite.). I honestly don't know how to explain this any clearer. http://3.bp.blogspot.com/_mVk-nEnsSXI/S_UDj_mE8lI/AAAAAAAAADI/X9ULOiOGIJ0/s1600/tric.png
The labeled angle in that image would be your \(\theta\).