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Pertanyaan

Diketahui kubus ABCD.EFGH dengan panjang rusuk a cm. Nilai cosinus sudut antara bidang ABCD dengan bidang DBG adalah....

  1. square root of 2

  2. 1 third square root of 3

  3. 1 half square root of 3

  4. 1 third square root of 6

  5. 1 half square root of 6

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

T C equals 1 half A C  T C equals 1 half square root of a squared plus a squared end root equals a over 2 square root of 2  T G equals square root of C P squared plus C G squared end root  T G equals square root of open parentheses a over 2 square root of 2 close parentheses squared plus a squared end root  T G equals square root of a squared over 2 plus a squared end root  T G equals square root of 3 over 2 a squared end root  T G equals a over 2 square root of 6    J a d i space cos space a space  equals space fraction numerator T G over denominator T G end fraction equals fraction numerator begin display style a over 2 square root of 2 end style over denominator begin display style a over 2 square root of 6 end style end fraction  equals fraction numerator square root of 2 over denominator square root of 6 end fraction cross times fraction numerator square root of 6 over denominator square root of 6 end fraction  equals fraction numerator square root of 12 over denominator 6 end fraction  equals fraction numerator 2 square root of 3 over denominator 6 end fraction  equals fraction numerator square root of 3 over denominator 3 end fractionHasil gambar untuk sudut antara bidang abcd dan bidang bdg

 

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