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
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the area of a square is is 50 cm sq. The lenght of its diagonal is option: (a)5√2 cm (b)10cm
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
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Answer:
option a
because 5 square is 25 and 25× 2 is = 50
Verified answer
Answer:
[tex] \sf \: Area \: of \: a \: square = \frac{1}{2} ×(diagonal)^2 \\ [/tex]
[tex] \sf \longrightarrow \: 50= \frac{1}{2} ×(diagonal)^{2} \\ [/tex]
[tex] \sf \longrightarrow {(diagonal)}^{2} = 50 \times \frac{2}{1} \\ [/tex]
[tex] \sf \longrightarrow {(diagonal)}^{2} = 100[/tex]
[tex] \sf \longrightarrow diagonal = \sqrt{100} [/tex]
[tex] \sf \longrightarrow diagonal = 10 \: cm[/tex]
Option (b)10 cm is the correct answer.