find the side and perimetar of squads diagonal is 10 cm
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Step-by-step explanation:
diagonal of square= root (2) × side
10= root(2) × side
10/root(2)= side
5 root 2 = side
perimeter of square=4×side
i. e. =4× 5 root 2
I hope it will help you
Answered by
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Question :
find the side and perimetar of squads diagonal is 10 cm.
Answer : It is given that ABCD is a square.
therefore AB = BC = CD = DA = a( say)
According to pythagoras theorem ,in ABD.
AB²+AD² = BD²
a² + a² = (10)²
2a² = 100
a²= 50
a = √50
a = 5√2 cm.
hence, the side of the square is 5√2 cm.
Now,
perimeter of a square = 4× side
= 4×a
= 4× 5√2
= 20√2 cm
hence the perimeter of the square is 20√2cm
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