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Trig Choo Trig Choo. Lydia Suarez. The Measurements. 1. <A = 25 ° , <B 61 ° , <D 90° Side ab = 6 ¾’’, Side bd = 2 ¾’’, Side ad=6 ½’’ 2. < D=90°, < B=25°, <C 65° Side db = 2 ¾’’, Side bc =3’’, Side dc= 1 ¼’’
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Trig Choo Trig Choo Lydia Suarez
The Measurements 1. <A= 25°, <B 61°, <D 90° Side ab= 6 ¾’’, Side bd= 2 ¾’’, Side ad=6 ½’’ 2. <D=90°, <B=25°, <C 65° Side db= 2 ¾’’, Side bc=3’’, Side dc= 1 ¼’’ 3. <A=90°, <B=102°,<C=40° Side ab=4’’, Side bc=4’’, Side ac= 7 ½’’ • <A=90°, <B=84°, <C=63° Side ab= 6 ¾’’, Side bc=4 ¾’’, Side ac= 4 ¼’’ • <A=70°, <B=90°, <C=60° Side ab=5’’, Side bc= 4 ¾’’, Side ac= 4 ¼’’ • <A=67°, <B=43°, <C=90° Side ab= 2’’, Side bc= 1 ¾’’, Side ac= 1 ½’’, • <A=90°, <B=86°, <C=64° Side ab=3 ¾’’, Side bc= 1 ¼’’, Side ac= ¾’’ • <A=64°, <B=124°, <C=90° Side ab= 7’’, Side bc=7’’, Side ac=12’’ • <A=90°, <B=31°, <C=80° Side ab=7 ½’’, Side bc=8’’, Side ac=4’’ • <A=90°, <B=53°, <C=65° Side ab=7’’, Side bc=11’’, Side ac= 6 ½’’
The Obtuse One (2) B Sides: Side BC= 2 ¾’’, Side DB=3’’,Side DC= 1 ¼’’ Angles: <B=25° <D=90° <C=65° _________ 180°=Perfect! D C a²+b²=c² (3) ²+(5/4) ²=(11/4) ² 9+1.5625=7.5625 10.5625=/=7.5625 OBTUSE Sin 65=3 __ = 3 11/4 ___ 1.25 .8526=/=2.4 Cos 65=5/41.25 _____ = ____ 11/4 2.75 .5224=/=.4545 The math did not work in this equation because two of the sides were too large even though the total degree of the triangle was perfect. Tan 65= 33 ___ = __ 5/4 1.25 1.6318=/=2.4
B The Obtuse One (3) The math in this triangle did not add up to 180 because forcing a right angle into this triangle may have overthrown the entire measurement off because I already had a large angle in this triangle. C A Sides: Side AB=4’’, Side BC=4’’, Side AC=7 ½’’ Angles: <A=90° <B=102° <C=40° ________ 197°=Not So Perfect (Off by 17°) Sin 40=4/4 .587=/=1 a²+b²=c² (4) ²+(15/2) ²=(4) ² 16+56.25=16 72.25=/=16 OBTUSE Cos 40=15/27.25 ____= ___ 4 4 .8090=/=1.8125 Tan 40= 4 4 ___ = __ 15/2 7.25 .7265=/=.5517
The Acute One (10) A C Sides: Side AB=7’’, Side BC=11’’, Side AC=6 ½’’ Angles: <A=90° <B=53° <C=65° _________ 208°=Not so Perfect B a²+b²=c² (13/2) ²+(7) ²=(11) ² 42.25+49=121 91.25=/=121 _____________ ACUTE From the degrees it looks like the triangle is an obtuse angle but from the math we see that the triangle is an acute angle. I think this triangle was an acute because the sides and not the degrees determined this triangle.
Trig Trig Conclusion The project I created was very confusing. The way it looked was confusing. The way it stood up by itself was confusing. And even the math involved was a bit confusing. But I still loved it all the same. There were several different types of triangles in my shape. Although some triangles looked like right triangles, the math proved that they were far from it. I would not want my project to be recreated in real life with the intention to hold people inside of it.