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Trig Choo Trig Choo Lydia Suarez

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Trig Choo Trig Choo. Lydia Suarez. The Measurements. 1.

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Page 1: Trig  Choo  Trig  Choo

Trig Choo Trig Choo

Lydia Suarez

Page 2: Trig  Choo  Trig  Choo

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’’4. <A=90°, <B=84°, <C=63° Side ab= 6 ¾’’, Side bc=4 ¾’’, Side ac= 4 ¼’’5. <A=70°, <B=90°, <C=60° Side ab=5’’, Side bc= 4 ¾’’, Side ac= 4 ¼’’6. <A=67°, <B=43°, <C=90° Side ab= 2’’, Side bc= 1 ¾’’, Side ac= 1 ½’’, 7. <A=90°, <B=86°, <C=64° Side ab=3 ¾’’, Side bc= 1 ¼’’, Side ac= ¾’’ 8. <A=64°, <B=124°, <C=90° Side ab= 7’’, Side bc=7’’, Side ac=12’’9. <A=90°, <B=31°, <C=80° Side ab=7 ½’’, Side bc=8’’, Side ac=4’’10. <A=90°, <B=53°, <C=65° Side ab=7’’, Side bc=11’’, Side ac= 6 ½’’

Page 3: Trig  Choo  Trig  Choo

The Obtuse One (2)

Sides:Side BC= 2 ¾’’, Side DB=3’’,Side DC= 1 ¼’’Angles:<B=25°<D=90°<C=65°_________180°=Perfect!

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.

a²+b²=c²(3) ²+(5/4) ²=(11/4) ²9+1.5625=7.562510.5625=/=7.5625

OBTUSE

Sin 65=3 __ = 3 11/4 ___ 1.25.8526=/=2.4

Cos 65=5/4 1.25 _____ = ____ 11/4 2.75

.5224=/=.4545

Tan 65= 3 3

___ = __ 5/4 1.25

1.6318=/=2.4

B

D C

Page 4: Trig  Choo  Trig  Choo

The Obtuse One (3)

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°)

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.

a²+b²=c²(4) ²+(15/2) ²=(4) ²16+56.25=1672.25=/=16

OBTUSE

Sin 40=4/4.587=/=1

Cos 40=15/2 7.25 ____= ___ 4 4

.8090=/=1.8125

Tan 40= 4 4 ___ = __ 15/2 7.25

.7265=/=.5517

B

CA

Page 5: Trig  Choo  Trig  Choo

The Acute One (10)

Sides:Side AB=7’’, Side BC=11’’, Side AC=6 ½’’Angles:<A=90°<B=53°<C=65°_________208°=Not so Perfect

a²+b²=c²(13/2) ²+(7) ²=(11) ²42.25+49=12191.25=/=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.

A

B

C

Page 6: Trig  Choo  Trig  Choo

Trig Trig ConclusionThe 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 typesof 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 tobe recreated in real life with the intention to hold people inside of it.

Page 7: Trig  Choo  Trig  Choo

Not only was a project created, but a friendship.