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Perhatikan gambar di bawah! Tentukan jarak garis FH ke bidang BDG ....

Pertanyaan

Perhatikan gambar di bawah!

Tentukan jarak garis FH ke bidang BDG ....

  1. begin mathsize 14px style square root of 3 space cm end style 

  2. begin mathsize 14px style 2 square root of 3 space cm end style 

  3. size 14px 3 square root of size 14px 3 size 14px space size 14px cm 

  4. size 14px 4 square root of size 14px 3 size 14px space size 14px cm 

  5. size 14px 5 square root of size 14px 3 size 14px space size 14px cm 

Pembahasan Soal:

Misalkan titik tengah FH yaitu O, titik tengah BD yaitu P. Jarak FH ke BDG yaitu jarak titik O ke garis PG yang tegak lurus, misalkan titik Q. Maka, jarak FH ke BDG yaitu OQ. 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row AC equals cell square root of AB squared plus BC squared end root end cell row blank equals cell square root of 12 squared plus 12 squared end root end cell row blank equals cell 12 square root of 2 end cell row OG equals cell 1 half AC end cell row blank equals cell 6 square root of 2 end cell row blank blank blank row PG equals cell square root of open parentheses 1 half AC close parentheses squared plus CG squared end root end cell row blank equals cell square root of open parentheses 6 square root of 2 close parentheses squared plus 12 squared end root end cell row blank equals cell square root of 72 plus 144 end root end cell row blank equals cell square root of 216 end cell row blank equals cell 6 square root of 6 end cell row blank blank blank row cell Luas space segitiga end cell equals cell 1 half cross times alas cross times tinggi end cell row cell 1 half cross times PG cross times OQ end cell equals cell 1 half cross times OG cross times OP end cell row cell 1 half cross times 6 square root of 6 cross times OQ end cell equals cell 1 half cross times 6 square root of 2 cross times 12 end cell row OQ equals cell fraction numerator 72 square root of 2 over denominator 6 square root of 6 end fraction end cell row blank equals cell 4 square root of 3 end cell end table end style

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 April 2021

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