Jawab:
Penjelasan dengan langkah-langkah:
Materi = Pythagoras , trigonometri
Tingkat = SMP
3. a = [tex]\sqrt{(4\sqrt{3})^2-(2\sqrt{2})^2}[/tex]
= [tex]\sqrt{48-8}[/tex]
= [tex]\sqrt{40}[/tex]
= [tex]\sqrt{4\times10}[/tex]
= 2[tex]\sqrt{10}[/tex] (A)
4. segitiga siku siku 90,45,45
[tex]\frac{16}{\sin 90^{\circ}} =\frac{x}{\sin 45^{\circ}}[/tex]
[tex]x = \sin 45^{\circ}\times\frac{16}{\sin 90^{\circ}}[/tex][tex]x = \frac{\sqrt{2} }{2}\times \frac{16}{1}[/tex]
x = 8√2 (C)
5. ralat soal 15 ⇒ 25
(3x)²+(4x)²=25²
9x²+16x²=625
25x²=625
x²=625/25
x²=25
x=√25
x=5(D)
6. Gunakan aturan sinus , lihat dalam gambar
[tex]\frac{AD}{\sin 60^{\circ}}=\frac{BD}{\sin 30^{\circ}}[/tex]
AD = [tex]\sin 60^{\circ} \times \frac{4}{\sin 30^{\circ}}[/tex]
AD = [tex]\frac{\sqrt{3}}{2} \times \frac{4}{\frac{1}{2}}[/tex]
AD = [tex]4\sqrt{3}[/tex]
selanjutnya cari AC
AC = [tex]\sqrt{2(4\sqrt{3})^2}[/tex]
AC = 4√6
AC ≈ 9,8 (C)
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Jawab:
Penjelasan dengan langkah-langkah:
Materi = Pythagoras , trigonometri
Tingkat = SMP
3. a = [tex]\sqrt{(4\sqrt{3})^2-(2\sqrt{2})^2}[/tex]
= [tex]\sqrt{48-8}[/tex]
= [tex]\sqrt{40}[/tex]
= [tex]\sqrt{4\times10}[/tex]
= 2[tex]\sqrt{10}[/tex] (A)
4. segitiga siku siku 90,45,45
[tex]\frac{16}{\sin 90^{\circ}} =\frac{x}{\sin 45^{\circ}}[/tex]
[tex]x = \sin 45^{\circ}\times\frac{16}{\sin 90^{\circ}}[/tex]
[tex]x = \frac{\sqrt{2} }{2}\times \frac{16}{1}[/tex]
x = 8√2 (C)
5. ralat soal 15 ⇒ 25
(3x)²+(4x)²=25²
9x²+16x²=625
25x²=625
x²=625/25
x²=25
x=√25
x=5(D)
6. Gunakan aturan sinus , lihat dalam gambar
[tex]\frac{AD}{\sin 60^{\circ}}=\frac{BD}{\sin 30^{\circ}}[/tex]
AD = [tex]\sin 60^{\circ} \times \frac{4}{\sin 30^{\circ}}[/tex]
AD = [tex]\frac{\sqrt{3}}{2} \times \frac{4}{\frac{1}{2}}[/tex]
AD = [tex]4\sqrt{3}[/tex]
selanjutnya cari AC
AC = [tex]\sqrt{2(4\sqrt{3})^2}[/tex]
AC = 4√6
AC ≈ 9,8 (C)