Question

the area of a square is is 50 cm sq. The lenght of its diagonal is option: (a)5√2 cm (b)10cm (c)10√2cm (d)8cm​

Answer 1

Answer:

option a

because 5 square is 25 and 25× 2 is = 50

Answer 2

Answer:

$\sf \: Area \: of \: a \: square = \frac{1}{2} ×(diagonal)^2$

$\sf \longrightarrow \: 50= \frac{1}{2} ×(diagonal)^{2}$

$\sf \longrightarrow {(diagonal)}^{2} = 50 \times \frac{2}{1}$

$\sf \longrightarrow {(diagonal)}^{2} = 100$

$\sf \longrightarrow diagonal = \sqrt{100}$

$\sf \longrightarrow diagonal = 10 \: cm$

Option (b)10 cm is the correct answer.