Math, asked by MPramukh, 10 months ago

diagonal of square is12 then area is
diagonaofsquare \: is \: 12cm \: then \: area \:  =

Answers

Answered by Shiven2968
0

Answer:

Diagonal of a square is given by

 {2sides}^{2}  \\ by \: pythagoas \: thorem \:  \\  {side}^{2}  +  {side }^{2}  =  {2sides}^{2}  \\ let \: the \: side \: of \: square \: b e \: x \\  {x}^{2}  +  {x}^{2}  =   {12}^{2}  \\  {2x}^{2}  = 144 \\  {x}^{2}  =  \frac{144}{2}  = 72 \\  {x}^{2}  = 72 \\ x =  \sqrt{72}  = 8.4 \\ area \: of \: square =  {x}^{2}  \\  {x}^{2}  = 72

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