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Perhatikanlah gambar Balok KLMN.OPQR di samping. D...

Perhatikanlah gambar Balok KLMN.OPQR di samping. Diketahui panjang KN = 8 cm, PL = 8 cm dan RQ = 4 cm. Tentukan panjang OM.undefined

 

Jawaban:

Berdasarkan gambar di atas, perhatikan segitiga begin mathsize 14px style MOQ end style dengan siku-siku di begin mathsize 14px style O end style yang terbentuk dari ruas begin mathsize 14px style OM comma space OQ comma space dan space QM end style.

Tentukan panjang begin mathsize 14px style QM end style dan begin mathsize 14px style OQ end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row QM equals cell PL equals 8 space cm end cell row OR equals cell KN equals space 8 space cm end cell row OQ equals cell square root of OR squared plus RQ squared end root end cell row blank equals cell square root of 8 squared plus 4 squared end root end cell row blank equals cell square root of 64 plus 16 end root end cell row blank equals cell square root of 80 end cell row blank equals cell 4 square root of 5 end cell end table end style 

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row size 14px OM size 14px equals cell square root of size 14px OQ to the power of size 14px 2 size 14px plus size 14px QM to the power of size 14px 2 end root end cell row blank size 14px equals cell square root of begin mathsize 14px style left parenthesis 4 square root of 5 right parenthesis end style to the power of size 14px 2 size 14px plus size 14px 8 to the power of size 14px 2 end root end cell row blank size 14px equals cell square root of size 14px 80 size 14px plus size 14px 64 end root end cell row blank size 14px equals cell square root of size 14px 144 end cell row blank size 14px equals size 14px 12 end table 

Dengan demikian, panjang begin mathsize 14px style OM end style adalah 12 cm.

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