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Keliling sebuah taman berbentuk persegi dengan panjang diagonal ( 3 ​ + 1 1 ​ ) cm adalah ...

Keliling sebuah taman berbentuk persegi dengan panjang diagonal  cm adalah ...

  1. begin mathsize 14px style square root of 2 minus square root of 6 end style cm

  2. undefined cm

  3. begin mathsize 14px style fraction numerator square root of 6 plus square root of 2 over denominator 4 end fraction end style cm

  4. begin mathsize 14px style fraction numerator square root of 6 plus square root of 2 over denominator 2 end fraction end style cm

  5. begin mathsize 14px style fraction numerator square root of 6 minus square root of 2 over denominator 2 end fraction end style cm

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keliling persegi

keliling persegi begin mathsize 14px style equals 4 cross times sisi equals 4 cross times fraction numerator square root of 6 plus square root of 2 over denominator 4 end fraction equals square root of 6 plus square root of 2 end style  

Pembahasan

Misalkan sisi persegi = a Panjang diagonal persegi Maka, Jadi keliling persegi

Misalkan sisi persegi = a
Panjang diagonal persegi begin mathsize 14px style equals square root of straight a squared plus straight a squared end root equals square root of 2 straight a to the power of straight a end root equals straight a square root of 2 end style 
Maka,

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Sisi space persegi end cell equals cell fraction numerator panjang space diagonal space pesegi over denominator square root of 2 end fraction end cell row cell Sisi space persegi end cell equals cell fraction numerator 1 over denominator square root of 3 plus 1 end fraction cross times fraction numerator 1 over denominator square root of 2 end fraction end cell row cell Sisi space persegi end cell equals cell fraction numerator 1 over denominator square root of 2 open parentheses square root of 3 plus 1 close parentheses end fraction end cell row cell Sisi space persegi end cell equals cell open parentheses fraction numerator 1 over denominator square root of 6 plus square root of 2 end fraction close parentheses cross times open parentheses fraction numerator square root of 6 minus square root of 2 over denominator square root of 6 minus square root of 2 end fraction close parentheses end cell row cell Sisi space persegi end cell equals cell fraction numerator square root of 6 plus square root of 2 over denominator 6 minus 2 end fraction end cell row cell Sisi space persegi end cell equals cell fraction numerator square root of 6 plus square root of 2 over denominator 4 end fraction end cell end table end style 

Jadi keliling persegi begin mathsize 14px style equals 4 cross times sisi equals 4 cross times fraction numerator square root of 6 plus square root of 2 over denominator 4 end fraction equals square root of 6 plus square root of 2 end style  

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Dalam bentuk pangkat rasional, maka x 3 ⋅ 3 x ⋅ 4 x 5 ​ ​ ​ = ....

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