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Sinusitis/Nose Blockage?Dr Kevin Soh-Experienced/Senior ENT uses Latest, Proven Treatment@MT E

www.NoseSinus.com/Singapore

Language:English

US-RUMUS SEGITIGA http://www.scribd.com/doc/16309407/RUMUSRUMUS-SE

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Sinusitis/Nose Blockage?Dr Kevin Soh-Experienced/Senior ENT uses Latest, Proven

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Rumus-rumus segitiga

Dari (4) dan (5) didapat :

b sinC = c sinB atau

---------(6)

Dari (3) dan (6) didapat : (terbukti)

Bukti : Cara 2

i. Untuk ABC lancip:

Y C(b.cosA,b.sinA) Y C(a.cosB,a.sinB)

b a a b

yc yc

O=A c B X O=B c A X(a) (b)

Gambar 9

Perhatikan gambar 9 di atas !

Pada gambar 9 (a) didapat hubungan : y c = b.sinA -----(1)Pada gambar 9 (b) didapat hubungan : y c = a.sinB -----(2)Dari (1) dan (2) didapat hubungan

b.sinA = a.sin B atau

--------(3)


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Dari (3) dan (6) didapat : (terbukti)

ii. Untuk ABC tumpul :

Y Y

B(c.cosA,c.sinA) B(a.cosC,a.sinC)

yb c a a c y b

D O=A b C X O=C b A D X

(a) (b)Gambar 11

Perhatikan gambar 11 di atas !

Pada gambar 11 (a) didapat hubungan : y b = c.sinA ------ (1)

Pada gambar 11 (b) didapat hubungan : y b = a.sinC ------ (2)Dari (1) dan (2) didapat hubugan :

c.sinA = a.sin C atau

--------(3)

Y YA(c.cosB,c.sinB) A(b.cosC,b.sinC)

c y a b b y a c

O=B a C X O=C a B X(a) (b)


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Gambar 13C

b a

A Oc y

By

E

Gambar 14

CF

b a

A Oc

B

Gambar 15

Dari (1), (2) dan (3) didapat hubungan :

R

c

b

a2

Perhatikan gambar 14 di samping !E = B (sudut dalam segmen yang sama)

CAE siku-siku (menghdapi busur2

1lingkaran CE),

CE = 2R, (R = jari-jari lingkaran)

R

bBatau

R

b

CE

bE

2sin

2sin atau

----- (2)

Perhatikan gambar 15 di samping !

F = C (sudut dalam segmen yang sama)

BAF siku-siku (menghdapi busur21 lingkaran BF),

BF = 2R, (R = jari-jari lingkaran)

R

cCatau

c

BF

cF

2sinsin atau

----- (3)


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C

A B

E

Gambar 17

C

a

bA

c BO

F

Perhatikan gambar 18 di samping !

F= 180o

- C (sudut hadap segiempat

tali busur), BAF = 90o

BF = 2R, (R = jari-jari lingkaran)

CCFo

sin)180sin(sin

R

cCatau

c

BF

cC

2sinsin

atau

----- (3)


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b. Hitunglah panjang sisi a dan c !.

Penyelesaian:

a. C = 180o

- A - B = 180o 38

o 64

o= 78

o

b. Panjang sisi a dan c ditentukan dengan aturan sinus- panjang sisi a

42,3

8988,0

0785,3

8988,0

6157,05

64sin

38sin5

sin

sin

sinsin

a

a

a

a

B

Aba

B

b

A

a

o

o

- panjang sisi c

44,5

8988,0

8905,4

8988,0

9781,05

64sin

78sin5

sin

sin

sinsin

c

c

c

c

B

Cbc

C

c

B

b

o

o

Atau dengan cara lain :a. Dengan menggunakan daftar logaritma :

64sin

38sin.5loglog

64sin

38sin5

a

a

o

o

o

o


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RUMUS-RUMUS SEGITIGA

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Published bypadiya68Follow

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Sinusitis/Nose Blockage?

Dr Kevin Soh-Experienced/Senior ENTuses Latest, Proven Treatment@MT E


Info and Rating

Category: Books - Non-fiction

Rating: (2 Ratings)

Upload Date: 06/11/2009

Copyright: Attribution Non-commercial

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Sinusitis/NoseBlockage?Dr KevinSoh-Experienced/SeniorENT uses Latest, ProvenTreatment@MT E

www.NoseSinus.com/Singap

Layang Layang

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Chronic SinusitisStop Sinusitis Problems.Get All Natural TreatmentToday!

SinusWars.com/Sinusitis

Software TIK &Lab Bahasa

Software pendidikan & Labbahasa. Sesuai juknisDAK/Bansos/Blockgrant

www.winnertech.co.id

S'pore Neuro andPain DocFor Neurological, Pain andHeadache problems, Call62545289

siowneurology.com


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Layang Layang

Dive ResortBest 2013 Layang Layangdeal with the HammerheadSharks. Book now!




Software TIK &Lab Bahasa

Software pendidikan & Labbahasa. Sesuai juknisDAK/Bansos/Blockgrant

www.winnertech.co.id

S'pore Neuro andPain DocFor Neurological, Pain andHeadache problems, Call62545289

siowneurology.com


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Buku murah

erlanggaDapatkan harga buku 5000s/d 50000 buku anak,novel, masakan dan umum

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Layang LayangDive Resort

Best 2013 Layang Layangdeal with the HammerheadSharks. Book now!





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NextRUMUS-RUMUS SEGITIGAover 3 years|171783 views

Post commenttarmidzi0978 days ago00haiAl-ghifari Ank Az-zumara month ago

00terima kasih atas penjelasannya mudah-mudahan bisa ngerjain soal matematika disekolah AMIN.....

mashudi2 months ago00Add a comment

NiaAnggitaClalu2 months ago|1Replies00BNTUIN KRJAKAN DONKK PLIESS.. Segitiga A = R=90 derajat.jika panjang AC= 15cm dan PQ=17cm maka keliling PQRadalah....cm

NiaAnggitaClalu2 months ago

00pliess mohon bantuin krjakan???Uciha Max Pro Fredy3 months ago00


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terimakasih atas informasinya semoga bisa bermanfaat dngan baik yha dri fredy smp anak karya ibu palembang

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