Roboguru

Perhatikan gambar. Diketahui garis  dan  merupakan garis tinggi dari  dan . Jika panjang  dan , hitunglah panjang !

Pertanyaan

Perhatikan gambar.

Diketahui garis begin mathsize 14px style CH end style dan begin mathsize 14px style EG end style merupakan garis tinggi dari begin mathsize 14px style triangle CDF end style dan begin mathsize 14px style triangle DEF end style. Jika panjang begin mathsize 14px style CD equals 20 space cm end style dan begin mathsize 14px style DE equals 15 space cm end style, hitunglah panjang begin mathsize 14px style GH end style!

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell D F end cell equals cell square root of C D squared plus D E squared end root end cell row cell D F end cell equals cell square root of 20 squared plus 15 squared end root end cell row cell D F end cell equals cell square root of 400 plus 225 end root end cell row cell D F end cell equals cell square root of 625 end cell row cell D F end cell equals 25 end table end style 

Tentukan begin mathsize 14px style C H equals E G end style :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell C D cross times C F end cell equals cell D F cross times C H end cell row cell 20 cross times 15 end cell equals cell 25 cross times C H end cell row cell C H end cell equals 12 end table end style 

Tentukan begin mathsize 14px style F H equals G D end style :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F H squared end cell equals cell C F squared minus C H squared end cell row blank equals cell 15 squared minus 12 squared end cell row blank equals cell 225 minus 144 end cell row blank equals 81 row cell F H end cell equals 9 end table end style 

Jadi,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell G H end cell equals cell D F minus F H minus G D end cell row blank equals cell 25 minus 9 minus 9 end cell row blank equals 7 end table end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

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