SOLUTION: what is the length of a side of a square given the 10 cm as the length of the diagonal?

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Question 390224: what is the length of a side of a square given the 10 cm as the length of the diagonal?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,  

Using the Pythagorean Theorem:  a^2 + b^2 = c^2

 s^2 + s^2 = (10cm)^2

    2s^2 = 100cm^2

     s^2 = 50cm^2  Tossing out the negative solution

     s+=+sqrt%2850%29cm+=+sqrt%2825%2A2%29cm+=+highlight%285%2Asqrt%282%29cm%29+%29