Question

the diagonal of square is 20m find its length of one side​

Answer 1

Answer:

10√2 cm

Step-by-step explanation:

diagonal of square = side √2

20 = side√2

side = 20/√2

side = 10√2

Answer 2

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That is because the diagonal of the square is the hypotenuse (which is the longest side) of a right triangle with two sides of length s.

The Pythagorean Theorem states:

a2 + b2 = c2

For this square:

s2 + s2 = (20)2

2s2 = (20)2

s2 = (20)2/2

s2 = (20/√2)2

s = 20/√2

s = (√2/√2)(20/√2)

s = (20/2)√2

s = 10√2 cm