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Panjang , , , dan .  Hitunglah panjang !

Pertanyaan

Panjang begin mathsize 14px style AB equals 32 space cm end stylebegin mathsize 14px style AE equals 12 space cm end stylebegin mathsize 14px style CD equals 16 space cm end style, dan begin mathsize 14px style ED equals 8 space cm end style

Hitunglah panjang begin mathsize 14px style EF end style

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Pembahasan Video:

Pembahasan Soal:

Perhatikan gambar trapesium berikut.

begin mathsize 14px style E D equals E to the power of apostrophe C equals 8 blank cm end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A D end cell equals cell A to the power of apostrophe C end cell row blank equals cell A E plus E D end cell row blank equals cell 12 plus 8 end cell row blank equals cell 20 blank cm end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A to the power of apostrophe B end cell equals cell A B minus A A to the power of apostrophe end cell row blank equals cell 32 minus 16 end cell row blank equals cell 16 blank cm end cell end table end style

begin mathsize 14px style fraction numerator E apostrophe C over denominator A apostrophe C end fraction equals 8 over 20 equals 2 over 5 end style

Perbandingan panjang sisi yang bersesuaian pada dua segitiga sebangun nilainya sama.
Sehingga,
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator E apostrophe F over denominator A apostrophe B end fraction end cell equals cell 2 over 5 end cell row cell fraction numerator E apostrophe F over denominator 16 end fraction end cell equals cell 2 over 5 end cell row cell E to the power of apostrophe F end cell equals cell 2 over 5 cross times 16 end cell row blank equals cell 32 over 5 end cell row blank equals cell 6 , 4 blank cm end cell row blank blank blank row blank blank blank end table end style

Dapat diperoleh, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell E F end cell equals cell E E to the power of apostrophe plus E to the power of apostrophe F end cell row blank equals cell 16 plus 6 , 4 end cell row blank equals cell 22 , 4 blank cm end cell end table end style

 

Jadi, panjang EF adalah begin mathsize 14px style 22 comma 4 space text cm end text end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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