Question

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

Answer 1

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...
${x}^{2} + {x}^{2} = {10}^{2}$
$2 {x}^{2} = 100$
${x }^{2} = 50$
$x = \sqrt{50}$
side of a diagonal=2 sqrt50
$= 10 \sqrt{2}$
cm......



HOPE IT HELPS YOU '_'

Answer 2

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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