Question 181511
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One side of a rectangular stage is 2 meters longer than the other. 
If the diagonal is 10 meters, then what are the lengths of the sides?
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        The solution and the answer in the post by @HyperBrain both are  incorrect due to arithmetic error.

        See my correct solution below.



Let x = width
. . x+2 = length
+++
The diagonal of length 10 acts as the hypotenuse while x and x+2 are the legs. Using the Pythagorean theorem,

x2+(x+2)^2 = 10^2

x^2 + x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

 x^2 + 2x - 48 = 0

(x+8)*(x-6) = 0

Use the positive root x = 6.


The sides are 6 meters and 8 meters. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>


Solved correctly.



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The fact that @HyperBrain repeats these words "Power up, @HyperBrain!" from post to post,
tells me that he uses a computer code.


The fact that @HyperBrain makes numerous errors from post to post,
tells me that his goal is to run the code, ONLY, without thinking is it correct or wrong.


The correctness of his solution is permanently out of his consideration.
The correctness is not interesting to him.



When a person writes this way, his character is seen through his writing as a clear day.