if the length of the diagonal of a square is 100 cm then its perimeter is is____
Answers
Answered by
4
Answer:
answer is 2✓2×100
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Answered by
2
Answer:
20√2 cms.
Step-by-step explanation:
Given,
Diagonal of Square ABCD
=> AC (Hypothenuse) = 100cms
Now, In ∆le ABC
Let's
AB = AC => "x" cms (As sides of square is equal)
By Pythagoras theorem
=> AC² = AB²+BC²
=> 100² = x²+x²
=> 10000 = 2x²
=> 10000/2 = x²
=> √5000 = x
=> 50√2 = x
Perimeter of Square = 4(5√2) => 20√2cms
Hope it helps you.....
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