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Perhatikan gambar berikut. Jika AB = 5 cm, BC = 7 cm, dan AC = 4 cm, maka panjang jari-jari lingkaran luar segitiga ABC tersebut adalah ….

Perhatikan gambar berikut.

Jika AB = 5 cm, BC = 7 cm, dan AC = 4 cm, maka panjang jari-jari lingkaran luar segitiga ABC tersebut adalah ….

  1. begin mathsize 14px style fraction numerator 35 square root of 6 over denominator 12 end fraction space cm end style  

  2. begin mathsize 14px style fraction numerator 35 square root of 6 over denominator 24 end fraction space cm end style  

  3. begin mathsize 14px style fraction numerator 35 square root of 3 over denominator 12 end fraction space cm end style  

  4. begin mathsize 14px style fraction numerator 35 square root of 3 over denominator 24 end fraction space cm end style  

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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Pembahasan

Diketahui AB = a = 5 cm, BC = b = 7 cm, dan AC = c = 4 cm, maka sehingga

Diketahui AB = a = 5 cm, BC = b = 7 cm, dan AC = c = 4 cm, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight s equals cell 1 half left parenthesis straight a plus straight b plus straight c right parenthesis space end cell row blank equals cell 1 half left parenthesis 5 plus 7 plus 4 right parenthesis end cell row blank equals cell 1 half left parenthesis 16 right parenthesis end cell row blank equals 8 end table end style   

sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight r equals cell fraction numerator abc over denominator 4 square root of left parenthesis straight s left parenthesis straight s minus straight a right parenthesis left parenthesis straight s minus straight b right parenthesis left parenthesis straight s minus straight c right parenthesis end root end fraction end cell row blank equals cell fraction numerator 5 times 7 times 4 over denominator 4 square root of left parenthesis 8 left parenthesis 8 minus 5 right parenthesis left parenthesis 8 minus 7 right parenthesis left parenthesis 8 minus 4 right parenthesis end root end fraction end cell row blank equals cell fraction numerator 5 times 7 times up diagonal strike 4 over denominator up diagonal strike 4 square root of 8 times 3 times 1 times 4 end root end fraction end cell row blank equals cell fraction numerator 35 over denominator 4 times 2 times 3 times 4 end fraction end cell row blank equals cell fraction numerator 35 over denominator square root of 4 squared times 6 end root end fraction end cell row blank equals cell fraction numerator 35 over denominator 4 square root of 6 end fraction end cell row blank equals cell fraction numerator 35 over denominator 4 square root of 6 end fraction cross times fraction numerator square root of 6 over denominator square root of 6 end fraction end cell row blank equals cell fraction numerator 35 square root of 6 over denominator 24 end fraction space cm end cell end table end style    

 

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