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Kubus ABCD.EFGH panjang rusuknya 4 cm. Titik P tengah-tengah EH. Maka jarak titik P ke garis BG adalah .....

Kubus ABCD.EFGH panjang rusuknya 4 cm. Titik P tengah-tengah EH. Maka jarak titik P ke garis BG adalah .....

 

  1. 3 square root of 2

  2. square root of 2

  3. 2 square root of 2

  4. 1 half square root of 2

  5. 1 fourth square root of 2

Jawaban:

P G equals square root of 4 squared plus 2 squared end root equals square root of 20  B G equals 4 square root of 2  B P equals square root of left parenthesis 4 square root of 2 right parenthesis squared plus 2 squared end root equals 6  left parenthesis P P apostrophe right parenthesis squared equals left parenthesis P P apostrophe right parenthesis squared  square root of 20 squared minus left parenthesis 4 square root of 2 minus x right parenthesis 2 equals 6 squared minus x squared space left right double arrow x equals 3 square root of 2  left parenthesis P P apostrophe right parenthesis squared equals 36 minus x squared equals 36 minus left parenthesis 3 square root of 2 right parenthesis squared equals 18  P P apostrophe equals 3 square root of 2

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