Jika AB=40 cm, berapa panjang BC?

Pertanyaan

Jika begin mathsize 14px style AB equals 40 space cm end style, berapa panjang BC?

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K. Prameswari

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

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Jawaban

diperoleh panjang begin mathsize 14px style BC equals 40 square root of 2 space cm end style

Pembahasan

Berdasarkan aturan trigonometri, diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos open parentheses 45 degree close parentheses end cell equals cell fraction numerator sisi space samping over denominator sisi space miring end fraction end cell row cell 1 half square root of 2 end cell equals cell AB over BC end cell row cell 1 half square root of 2 end cell equals cell 40 over BC end cell row cell 1 half square root of 2 cross times BC cross times fraction numerator 2 over denominator square root of 2 end fraction end cell equals cell 40 over BC cross times BC cross times fraction numerator 2 over denominator square root of 2 end fraction end cell row BC equals cell fraction numerator 80 over denominator square root of 2 end fraction end cell row BC equals cell fraction numerator 80 over denominator square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row BC equals cell 40 square root of 2 end cell end table end style 

Jadi, diperoleh panjang begin mathsize 14px style BC equals 40 square root of 2 space cm end style

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