Math, asked by ramalaxmipillai, 9 months ago

find the length of side of square if the length of diagonal is 13 cm​

Answers

Answered by EMATH4U
1

Answer:

Given diagonal of square is 13

  • so that side of square will be 13/√2
  • Area of square=Side×side
  • =(13/√2)×(13/√2)=169/2
  • 84.5 square cm
Answered by rushil9915
1

Step-by-step explanation:

let the square be ABCD and the diagonal be AC

/_ ABC =90°

by Pythagoras theorem

ab

 {ab \:}^{2}  +  {bc}^{2}   =  {ac}^{2}

but ab = bc. [. side of a square ]

2 {ab}^{2}  =  {ac}^{2}

2(ab)^2 =13

ab^2 =13/2

ab \:  =  \sqrt{13 \div 2}

ab= bc= cd= ad

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