Question

Find the length of a diagonal of a square with sides 10in. long

Answer 1

a² + b² = c²

c² = 10² + 10²

c² = 100 + 100

c² = 200

c = √200

c = 10√2

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Answer : The length of the diagonal is 10√2.
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Answer 2

Hey!!!
Answer is....
diagonals of square bisect each other at right angles.
let diagonal be 2x
Using Pythagoras in a triangle enclosed by a side and 2 half diagonals...

`{x}^(2) + {x}^(2) = {10}^(2)`

`2 {x}^(2) = 100`

`{x }^(2) = 50`

`x = √(50)`
side of a diagonal=2 sqrt50

`= 10 √(2)`
cm......



HOPE IT HELPS YOU '_'