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Kubus , hitunglah panjang garis !

Kubus begin mathsize 14px style text ABCD.EFGH end text end style, hitunglah panjang garis begin mathsize 14px style text AG end text end style!

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Jawaban:

Perhatikan perhitungan berikut ini.

Ingat, teorema Pythagoras:

begin mathsize 14px style c squared equals a squared plus b squared end style

Untuk mencari panjang garis begin mathsize 14px style text AG end text end style dapat menggunakan teorema Pythagoras, yaitu:

begin mathsize 14px style text AG end text squared equals text AE end text squared plus text EG end text squared end style

Terlebih dahulu dicari panjang begin mathsize 14px style text EG end text end style, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell text EG end text squared end cell equals cell text EH end text squared plus text HG end text squared end cell row cell text EG end text squared end cell equals cell 10 squared plus 10 squared end cell row cell text EG end text squared end cell equals cell 2 open parentheses 10 squared close parentheses end cell row cell text EG end text end cell equals cell plus-or-minus square root of 2 open parentheses 10 squared close parentheses end root end cell row cell text EG end text end cell equals cell plus-or-minus 10 square root of 2 end cell end table end style

Didapatkan panjang begin mathsize 14px style text EG end text end style adalah begin mathsize 14px style plus-or-minus 10 square root of 2 end style, karena suatu panjang tidak mungkin negatif maka dipilih begin mathsize 14px style 10 square root of 2 end style. Sehingga  panjang garis begin mathsize 14px style text AG end text end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell text AG end text squared end cell equals cell text AE end text squared plus text EG end text squared end cell row cell text AG end text squared end cell equals cell 10 squared plus open parentheses 10 square root of 2 close parentheses squared end cell row cell text AG end text squared end cell equals cell 100 plus left parenthesis 100 times 2 right parenthesis end cell row cell text AG end text squared end cell equals cell 100 plus 200 end cell row cell text AG end text squared end cell equals 300 row cell text AG end text end cell equals cell plus-or-minus square root of 300 end cell row cell text AG end text end cell equals cell plus-or-minus square root of 3 times 100 end root end cell row cell text AG end text end cell equals cell plus-or-minus 10 square root of 3 end cell end table end style

Didapatkan panjang garis begin mathsize 14px style text AG end text end style adalah begin mathsize 14px style plus-or-minus 10 square root of 3 end style, karena suatu panjang tidak mungkin negatif maka dipilih begin mathsize 14px style 10 square root of 3 end style.

Jadi, panjang garis begin mathsize 14px style text AG end text end style adalah undefined satuan.

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