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Sinusitis/Nose Blockage?Dr Kevin Soh-Experienced/Senior ENT uses Latest, Proven Treatment@MT E
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Language:English
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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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Rumus-rumus segitiga
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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Rumus-rumus segitiga
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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Rumus-rumus segitiga
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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Rumus-rumus segitiga
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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Sinusitis/Nose Blockage?Dr Kevin Soh-Experienced/Senior ENT uses Latest, Proven Treatment@MT E
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Sinusitis/Nose Blockage?
Dr Kevin Soh-Experienced/Senior ENTuses Latest, Proven Treatment@MT E
www.NoseSinus.com/Singapore
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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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Sinusitis/NoseBlockage?Dr KevinSoh-Experienced/SeniorENT uses Latest, ProvenTreatment@MT E
www.NoseSinus.com/Singap
Layang Layang
Dive ResortBest 2013 Layang Layangdeal with the HammerheadSharks. Book now!
www.waikikitravel.com.sg
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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Sinusitis/NoseBlockage?Dr KevinSoh-Experienced/SeniorENT uses Latest, ProvenTreatment@MT E
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Layang LayangDive Resort
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Chronic SinusitisStop Sinusitis Problems.Get All Natural TreatmentToday!
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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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US-RUMUS SEGITIGA http://www.scribd.com/doc/16309407/RUMUSRUMUS-SE
48 12/2/2012
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8/9/2019 RUMUS SEGITIGA
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terimakasih atas informasinya semoga bisa bermanfaat dngan baik yha dri fredy smp anak karya ibu palembang
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US-RUMUS SEGITIGA http://www.scribd.com/doc/16309407/RUMUSRUMUS-SE