Roboguru

Berdasarkan gambar di bawah ini, tentukan:   d. Luas .

Pertanyaan

Berdasarkan gambar di bawah ini, tentukan:

 

d. Luas begin mathsize 14px style triangle ADF end style.

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row AC equals cell square root of 8 squared plus 6 squared end root end cell row blank equals cell square root of 64 plus 36 end root end cell row blank equals cell square root of 100 end cell row blank equals 10 end table end style 

Dengan menerapkan konsep luas diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell BC times CD end cell equals cell 2 times fraction numerator AC times DF over denominator 2 end fraction end cell row cell 8 times 6 end cell equals cell 2 times fraction numerator 10 times DF over denominator 2 end fraction end cell row 48 equals cell 10 DF end cell row DF equals cell 4 comma 8 end cell row blank blank blank end table end style 

Sehingga:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row CF equals cell square root of 6 squared minus 4 comma 8 squared end root end cell row blank equals cell square root of 36 minus 23 comma 04 end root end cell row blank equals cell square root of 12 comma 96 end root end cell row blank equals cell 3 comma 6 end cell end table end style 

Menentukan panjang begin mathsize 14px style AF end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row AF equals cell AC minus CF end cell row blank equals cell 10 minus 3 comma 6 end cell row blank equals cell 6 comma 4 end cell end table end style 

Sehingga:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Luas space triangle ADF end cell equals cell fraction numerator AF times DF over denominator 2 end fraction end cell row blank equals cell fraction numerator 6 comma 4 times 4 comma 8 over denominator 2 end fraction end cell row blank equals cell 15 comma 36 end cell end table end style 

Jadi, luas begin mathsize 14px style bottom enclose bold triangle bold ADF bold equals bold 15 bold comma bold 36 bold space bold cm to the power of bold 2 end enclose end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

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