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The diagonal of a square is 2 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form

Sagot :

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The diagonal splits the square into 2 right triangles, with hypotenuse the diagonal of length 2 and congruent sides x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

x² + x² = 2²

2x² = 4 ( divide both sides by 2 )

x² = 2 ( take square root of both sides )

x = [tex]\sqrt{2}[/tex] ← length of side of the square

chanboromey07

Step-by-step explanation:

d=a√2

a=d/√2

a=2×√2

a=√2

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