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Kubus  memiliki rusuk . Jarak titik  ke garus  ada...

Kubus ABCD. EFGH memiliki rusuk 8 space cm. Jarak titik straight D ke garus HB adalah...

Jawaban:

Perhatikan gambar berikut ini!

Jarak titik straight D dengan garis HB adalah OD.

Dengan menggunakan rumus Phytagoras

table attributes columnalign right center left columnspacing 0px end attributes row DB equals cell square root of AD squared plus AB squared end root end cell row blank equals cell square root of 8 squared plus 8 squared end root end cell row blank equals cell square root of 64 plus 64 end root end cell row blank equals cell square root of 128 end cell row blank equals cell 8 square root of 2 space cm end cell row HB equals cell square root of HD squared plus DB squared end root end cell row blank equals cell square root of 8 squared plus open parentheses 8 square root of 2 close parentheses squared end root end cell row blank equals cell square root of 64 plus 128 end root end cell row blank equals cell square root of 192 end cell row blank equals cell 8 square root of 3 space cm end cell end table

Selanjutnya perhatikan segitiga DBH, dengan menggunakan luas segitiga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 half cross times HB cross times OD end cell equals cell 1 half cross times HD cross times DB end cell row cell 8 square root of 3 cross times OD end cell equals cell 8 cross times 8 square root of 2 end cell row OD equals cell fraction numerator 64 square root of 2 over denominator 8 square root of 3 end fraction end cell row blank equals cell fraction numerator 8 square root of 2 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 8 over 3 square root of 6 space cm end cell end table

Dengan demikian jarak titik straight D dan HB adalah 8 over 3 square root of 6 space cm.

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