Wednesday, February 28, 2007

Ambi...*looks at paper*..guous Triangle

Ohhhh kaayy..next scribe is me, Francis. I am the next Scribe. I was chosen because I told Justus I would have no internet, until Mar. 15. Mean kid huh.. But guess what! I'm here!


Ambiguous: open to or having several possible meanings or interpretations. (ref. dictionary.com). Basically an ambiguous triangle is a triangle with many different possibilities for side(s) and/or angle(s) measurements, if not already given.

Mrs. Ingram started off by drawing triangles. She drew a scary looking triangle:


Pretty scary ain't it? Well, nothing is missing as though it may look.
For one to solve this triangle, they must use sine law. Find angle B.

SinB = 1.23(since its impossible to have a sine value of >1. Can't find angle B. Therefore it's no triangle!



Now it's time to make another triangle, I promise you, it's much easier.


Now to form 1 triangle. Sine Law comes into play...now.
SinB = 1 so.. angle B = 90° and Angle A = 60°



Time for the real thing, the real ambiguous triangle.


Angle I: 30° h = 10 i = 6

Since this is ambiguous and it doesn't tell you where the exact position of almost everything. One must algebraically solve it using sine law.
In Quad I H = 56.44°



In Quad II H(2) = 180 - 56.44 = 123.56°

Time to see if we have another triangle in our hands. G = 180 - (30+54.44) = 93.56°

G(2) = 180 - 30(constant value, because it's given) - 123.56 = 26.44° YAY! WE NOW KNOW THERE IS 2 POSSIBLE TRIANGLES!..now it's time to find the measure of side g(use sine law).

g = 11.98 cm(the first g side)


g(2) = 5.34 cm(2nd g side)




We have now found 2 possible triangles. That is an ambiguous triangle folks

We were also given a small assignment to solve an ambiguous triangle without drawing it, but now that we know the equations(look up) we can easily do that! THAT'S THE END! YAY!



The next scriber guy..yes guy, will be! Get ready for HELL! Are ya ready!? ARE YA!? WELL YOU BETTER BE PAUL! THAT'S RIGHT! IT'S PAUL! sorry, I'm so stressed, heh. *wipes sweat off forehead and regain control...*

posted by Anonymous @ 5:50 PM

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