Question

find the measure of each side of a square whose diagonal is 10√2​

Answer 1

Answer:

a≈7.07

Step-by-step explanation:

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Answer 2

Answer:

10 unit

Step-by-step explanation:

Let the length of side be 'a'.  

In square, adjacent sides of equal length intersect each other at 90*. Here, we can use Pythagoras theorem, which says:

 ⇒ side^2 + side^2 = diagonal^2

⇒ a^2 + a^2 = (10√2)^2

⇒ 2a^2 = 200

⇒ a^2 = 200/2 = 100

⇒ a = √100

⇒ a = 10

      Hence, length of each side is 10 unit