Question

find the side of a square whose diognal is 20​

Answer 1

Answer:

at last find multiply 10 with 1.414=14.14

Answer 2

GIVEN :

• Diagonal of a side of a square = 20.

TO CALCULATE :

• Side of a square whose diagonal is 20.

FORMULA :

• Diagonal of square = $\sf \sqrt {a^{2} \ + \ a^{2}}$

SOLUTION :

Diagonal of square = $\sf \sqrt {a^{2} \ + \ a^{2}}$

$\implies \sf 20 \ = \ \sqrt {2a^{2}}$

$\implies \sf 20 \ = \ a \sqrt {2}$

$\implies \sf a \sqrt {2} \ = \ 20$

$\implies \sf a \ = \ \dfrac {20}{\sqrt {2}}$

Now, rationalise the denominator.

$\implies \sf \dfrac {20}{\sqrt {2}} \ times \dfrac {\sqrt {2}}{\sqrt {2}}$

$\implies \sf \dfrac {\cancel 20 \ \sqrt {2}}{\cancel 2}$

$\implies \sf 10 \sqrt {2} \ Units.$

$\qquad {\boxed {\sf 10 \sqrt {2}}}$

$\therefore$ Side of the square is $\sf 10 \sqrt {2} \ Units.$