SOLUTION: Find the diagonal of a rectangle with L = 8 and W = 4

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Question 85455: Find the diagonal of a rectangle with L = 8 and W = 4
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Since we have a given length and width, we can use these dimensions as legs of a triangle

Since we have a triangle with legs of 8 , 4 and a hypotenuse of x(our unknown side), we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem


Plug in a=8 and b=4 and lets solve for c
Square each individual term



Combine like terms


Take the square root of both sides


Simplify

So our answer is

which reduces to



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