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the length of a diagonal of a square is 72cm. find the length of the sides of the square​

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Answer:

The answer would be 36[tex]\sqrt{2\\\\}[/tex] or 50.91

Step-by-step explanation:

The way you would do this is that the diagonal of the square creates two right triangles. Both of the triangles created are 45, 45, 90 triangles.

In all cases of the 45,45,90 triangles the sides are 1/2 [tex]\sqrt{2\\\\}[/tex]  of the hypotenuse aka the diagonal.  

So to solve, you would just multiply the diagonal by 1/2 [tex]\sqrt{2\\\\}[/tex]  and you have your answer.

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