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Diketahui persegi panjang ABCD dengan CD = 8 cm, AK = 5 cm, dan LC =4,8 cm. Panjang ML= ...

Pertanyaan

Diketahui persegi panjang ABCD dengan CD = 8 cm, AK = 5 cm, dan LC =4,8 cm. Panjang ML= ...

 

  1. 1 comma 6 space cm     

  2. 0 comma 4 space cm       

  3. 0 comma 5 space cm         

  4. 0 comma 2 space cm       

Pembahasan Soal:

karena increment C L D tilde increment A M K maka

table attributes columnalign right center left columnspacing 0px end attributes row cell CL over MA end cell equals cell CD over AK end cell row cell fraction numerator 4 comma 8 over denominator MA end fraction end cell equals cell 8 over 5 end cell row MA equals cell fraction numerator 4 comma 8 times 5 over denominator 8 end fraction end cell row blank equals 3 end table

selanjutnya akan dicari panjang LD

table attributes columnalign right center left columnspacing 0px end attributes row LD equals cell square root of CD squared minus CL squared end root end cell row blank equals cell square root of 8 squared minus open parentheses 4 comma 8 close parentheses squared end root end cell row blank equals cell square root of 64 minus 23 comma 04 end root end cell row blank equals cell square root of 40 comma 96 end root end cell row blank equals cell 6 comma 4 space cm end cell end table 

karena increment C L D tilde increment K L C maka

table attributes columnalign right center left columnspacing 0px end attributes row cell LC over LK end cell equals cell LD over LC end cell row cell fraction numerator 4 comma 8 over denominator LK end fraction end cell equals cell fraction numerator 6 comma 4 over denominator 4 comma 8 end fraction end cell row LK equals cell fraction numerator 4 comma 8 times 4 comma 8 over denominator 6 comma 4 end fraction end cell row blank equals cell 3 comma 6 space cm end cell end table 

maka panjang MK

table attributes columnalign right center left columnspacing 0px end attributes row MK equals cell square root of AK squared minus MA squared end root end cell row blank equals cell square root of 5 squared minus 3 squared end root end cell row blank equals cell square root of 25 minus 9 end root end cell row blank equals cell square root of 16 end cell row blank equals cell 4 space cm end cell end table 

maka panjang ML dapat ditentukan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row ML equals cell MK minus LK end cell row blank equals cell 4 minus 3 comma 6 end cell row blank equals cell 0 comma 4 space cm end cell end table 

Jadi, jawaban yang tepat adalah B

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 05 Mei 2021

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