Penjelasan dengan langkah-langkah:
1.
Segitiga istimewa 30 60 90
KL : LM : KM
√3 : 2 : 1
maka
KM : KL = 1 : √3
KM : 12√3 = 1 : √3
KM = 12√3 / √3
KM = 12 cm
LM : KL = 2 : √3
LM = 12√3 x 2 /√3
LM = 24 cm
==============================
2.
QR : PR : PQ
PQ : PR = 1 : 2
PQ = 100 x 1 : 2
PQ = 50 cm
QR : PR = √3 : 2
QR = 100 x √3/2
QR = 50√3 cm
===============================
3.
Segitiga istimewa 45 45 90
AB : BC : AC
1 : 1 : √2
AC : AB = √2 : 1
AC = 10√5 x √2 : 1
AC = 10√10 cm
BC = AC
BC = 10√5 cm
4.
Aturan siinus
AC/Sin B = AB/Sin C = BC/Sin A
BC/Sin 45° = AC/Sin 30°
BC/½√2 = 8/½
BC / ½√2 = 16
BC = 16 x ½√2
BC = 8√2 cm
BC = 11,3 cm
AB/Sin 105°= AC/Sin 30°
AB/¼(√6 + √2) = 8/½
AB/¼(√6 + √2) = 16
AB = 4√6 + 4√2 cm
AB = 15,4 cm
Keliling
= 8 + 11,3 + 15,4
= 34,8 cm
Luas segitiga
s = ½ k
s = 17,4
L = √s(s-a)(s-b)(s-c)
L = √17,4(17,4-8)(17,4-11,3)(17,4-15,4)
L = √17,4(9,4)(6,1)(2)
L = √1995,432
L = 44,6 cm²
Maaf kalau ada yang salah bisa saya koreksi , soalnya ini pake sinus
1) KM = 12√3/√3
= 12/√3√3
= 12 CM
LM = 12√3(2/√3)
= 12(2(√3/√3)
= 12(2)
= 24 CM
2) PQ = 100(1)/2
= 100/2
= 50/1
= 50 CM
QR = 100(√3/2)
= 100/2(√3)
= 50/1(√3)
= 50√3 CM
3) AC = 10√5(√2)
= 10(√5(√2)
= 10(√(5(2)
= 10√10 CM
BC = 10√10 CM
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Penjelasan dengan langkah-langkah:
1.
Segitiga istimewa 30 60 90
KL : LM : KM
√3 : 2 : 1
maka
KM : KL = 1 : √3
KM : 12√3 = 1 : √3
KM = 12√3 / √3
KM = 12 cm
LM : KL = 2 : √3
LM = 12√3 x 2 /√3
LM = 24 cm
==============================
2.
Segitiga istimewa 30 60 90
QR : PR : PQ
√3 : 2 : 1
PQ : PR = 1 : 2
PQ = 100 x 1 : 2
PQ = 50 cm
QR : PR = √3 : 2
QR = 100 x √3/2
QR = 50√3 cm
===============================
3.
Segitiga istimewa 45 45 90
AB : BC : AC
1 : 1 : √2
AC : AB = √2 : 1
AC = 10√5 x √2 : 1
AC = 10√10 cm
BC = AC
BC = 10√5 cm
===============================
4.
Aturan siinus
AC/Sin B = AB/Sin C = BC/Sin A
BC/Sin 45° = AC/Sin 30°
BC/½√2 = 8/½
BC / ½√2 = 16
BC = 16 x ½√2
BC = 8√2 cm
BC = 11,3 cm
AB/Sin 105°= AC/Sin 30°
AB/¼(√6 + √2) = 8/½
AB/¼(√6 + √2) = 16
AB = 4√6 + 4√2 cm
AB = 15,4 cm
Keliling
= 8 + 11,3 + 15,4
= 34,8 cm
Luas segitiga
s = ½ k
s = 17,4
L = √s(s-a)(s-b)(s-c)
L = √17,4(17,4-8)(17,4-11,3)(17,4-15,4)
L = √17,4(9,4)(6,1)(2)
L = √1995,432
L = 44,6 cm²
Maaf kalau ada yang salah bisa saya koreksi , soalnya ini pake sinus
1) KM = 12√3/√3
= 12/√3√3
= 12 CM
LM = 12√3(2/√3)
= 12(2(√3/√3)
= 12(2)
= 24 CM
2) PQ = 100(1)/2
= 100/2
= 50/1
= 50 CM
QR = 100(√3/2)
= 100/2(√3)
= 50/1(√3)
= 50√3 CM
3) AC = 10√5(√2)
= 10(√5(√2)
= 10(√(5(2)
= 10√10 CM
BC = 10√10 CM