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Perhatikan gambar kubus di bawah, jika panjang rus...

Perhatikan gambar kubus di bawah, jika panjang rusuk kubus 5 cm, maka tentukan



b. Panjang diagonal ruang HB!space 

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Jawaban:

Perhatikan gambar kubus tersebut berikut!


 


Perhatikan segitiga ABD siku-siku di A, berdasarkan teorema Pythagoras maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row BD equals cell square root of BA squared plus AD squared end root end cell row blank equals cell square root of 5 squared plus 5 squared end root end cell row blank equals cell square root of 50 end cell row blank equals cell 5 square root of 2 end cell end table end style 

Perhatikan segitiga BDH siku-siku di D, berdasarkan teorema Pythagoras maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row HB equals cell square root of HD squared plus BD squared end root end cell row blank equals cell square root of 5 squared plus open parentheses 5 square root of 2 close parentheses squared end root end cell row blank equals cell square root of 25 plus 50 end root end cell row blank equals cell square root of 75 end cell row blank equals cell 5 square root of 3 end cell end table end style 

Jadi panjang dagonal HB adalah begin mathsize 14px style 5 square root of 3 space cm end style

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