length of a diagonal AC of a square ABCD and is 10 cm . find the length of each side's of the square
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length of diagonal=square root of 2 ×a.so,root2×a=10.a= root 5.so,side of square is root 5 cm.
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Heya Frnd ......,☺
Diagonal of the square = √(2s²)
=> 10 = √2s²
= 100 = 2s²
So,
![s \: = \: \sqrt{ \frac{100}{2} } s \: = \: \sqrt{ \frac{100}{2} }](https://tex.z-dn.net/?f=s++%5C%3A++%3D++%5C%3A++%5Csqrt%7B+%5Cfrac%7B100%7D%7B2%7D+%7D+)
![= > \: s \: = \: \sqrt{50} = > \: s \: = \: \sqrt{50}](https://tex.z-dn.net/?f=+%3D++%26gt%3B++%5C%3A+s+%5C%3A++%3D++%5C%3A++%5Csqrt%7B50%7D+)
![= > \: s \: = > \: 5 \sqrt{2} cm \: = > \: s \: = > \: 5 \sqrt{2} cm \:](https://tex.z-dn.net/?f=+%3D++%26gt%3B++%5C%3A+s+%5C%3A++%3D++%26gt%3B++%5C%3A+5+%5Csqrt%7B2%7D+cm+%5C%3A+)
![.............ANS .............ANS](https://tex.z-dn.net/?f=.............ANS)
_________☺☺☺_________
✴HOPE IT WILL HELP U............✔
Diagonal of the square = √(2s²)
=> 10 = √2s²
= 100 = 2s²
So,
_________☺☺☺_________
✴HOPE IT WILL HELP U............✔
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