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Ukuran sisi yang membentuk segitiga lancip ditunju...

begin mathsize 14px style left parenthesis straight i right parenthesis space 3 space cm comma space 5 space cm comma space 6 space cm left parenthesis ii right parenthesis space 5 space cm comma space 12 space cm comma space 13 space cm left parenthesis iii right parenthesis space 16 space cm comma space 24 space cm comma space 32 space cm left parenthesis iv right parenthesis space 20 space cm comma space 30 space cm comma space 34 space cm end style 

Ukuran sisi yang membentuk segitiga lancip ditunjukkan oleh ...

 

  1. begin mathsize 14px style left parenthesis straight i right parenthesis end style dan size 14px left parenthesis size 14px ii size 14px right parenthesis

  2. begin mathsize 14px style left parenthesis straight i right parenthesis end style dan begin mathsize 14px style left parenthesis iii right parenthesis end style 

  3. size 14px left parenthesis size 14px ii size 14px right parenthesis dan begin mathsize 14px style left parenthesis iii right parenthesis end style 

  4. begin mathsize 14px style left parenthesis iii right parenthesis end style dan begin mathsize 14px style left parenthesis iv right parenthesis end style 

Jawaban:

Hubungan sisi-sisi pada segitiga lancip adalah:

begin mathsize 14px style c squared less than a squared plus b squared end style 

Keterangan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c space end cell equals cell sisi space miring space segitiga space left parenthesis sisi space terpanjang right parenthesis space end cell row a equals cell sisi space tegak space segitiga end cell row b equals cell sisi space tegak space lainnya space left parenthesis sisi space datar right parenthesis end cell end table end style 

Sehingga,

(i).

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c squared end cell equals cell 6 squared end cell row blank equals cell 36 space cm end cell row cell a squared plus b squared end cell equals cell 3 squared plus 5 squared end cell row blank equals cell 9 plus 25 end cell row blank equals cell 34 space cm end cell row cell therefore space 36 end cell greater than cell 34 space left parenthesis bukan space segitiga space lancip right parenthesis end cell end table end style 

(ii). 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c squared end cell equals cell 13 squared end cell row blank equals cell 169 space cm end cell row cell a squared plus b squared end cell equals cell 5 squared plus 12 squared end cell row blank equals cell 25 plus 144 end cell row blank equals cell 169 space cm end cell row cell therefore space 169 end cell equals cell 169 space left parenthesis bukan space segitiga space lancip right parenthesis end cell end table end style 

 (iii).

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c squared end cell equals cell 32 squared end cell row blank equals cell 1.024 space cm end cell row cell a squared plus b squared end cell equals cell 16 squared plus 24 squared end cell row blank equals cell 256 plus 576 end cell row blank equals cell 832 space cm end cell row cell therefore space 1.024 end cell greater than cell 832 space left parenthesis bukan space segitiga space lancip right parenthesis end cell end table end style 

 (iv).   

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c squared end cell equals cell 34 squared end cell row blank equals cell 1.156 space cm end cell row cell a squared plus b squared end cell equals cell 20 squared plus 30 squared end cell row blank equals cell 400 plus 900 end cell row blank equals cell 1.300 space cm end cell row cell therefore space 1.156 end cell less than cell 1.300 space left parenthesis segitiga space lancip right parenthesis end cell end table end style 

Sehingga, sisi-sisi yang membentuk segitiga lancip adalah sisi (iv).

Jadi, tidak ada jawaban yang tepat.

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