Roboguru

Tentukan nilai , dan dari gambar berikut ini:

Tentukan nilai begin mathsize 14px style x comma space y end style, dan begin mathsize 14px style z end style dari gambar berikut ini:

Jawaban:

Ingat kembali:

begin mathsize 14px style AB squared equals AD cross times AC BC squared equals CD cross times CA BD squared equals AD cross times CD end style 

Maka:

- Nilai begin mathsize 14px style x end style 

begin mathsize 14px style AB squared equals AD cross times AC space space x squared equals 3 cross times 15 space space x squared equals 45 space space space space x equals plus-or-minus square root of 45 space space space space x equals plus-or-minus square root of 9 times 5 end root space space space space x equals plus-or-minus 3 square root of 5 end style 

- Nilai begin mathsize 14px style y end style 

begin mathsize 14px style BC squared equals CD cross times C A space space y squared equals 12 cross times 15 space space y squared equals 180 space space space space y equals plus-or-minus square root of 180 space space space space y equals plus-or-minus square root of 36 times 5 end root space space space space y equals plus-or-minus 6 square root of 5 end style 

- Nilai begin mathsize 14px style z end style 

begin mathsize 14px style BD squared equals AD cross times CD space space space z squared equals 3 cross times 12 space space space z squared equals 36 space space space space space z equals plus-or-minus square root of 36 space space space space space z equals plus-or-minus 6 end style 

Jadi, nilai begin mathsize 14px style x comma space y end style, dan begin mathsize 14px style z end style dari gambar tersebut adalah begin mathsize 14px style 3 square root of 5 comma space 6 square root of 5 end style, dan begin mathsize 14px style 6 end style karena menyatakan ukuran maka bilangan yang digunakan tidak boleh bilangan negatif.

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