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) About Me  (Show Source):
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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
a%5E2%2Bb%5E2=c%5E2

8%5E2%2B4%5E2=c%5E2 Plug in a=8 and b=4 and lets solve for c
6+4+%2B+1+6+=++c++%5E+2 Square each individual term



8+0+=++c++%5E+2 Combine like terms


s+q+r+t+%28+8+0+%29+=+s+q+r+t+%28++c++%5E+2+%29 Take the square root of both sides


s+q+r+t+%28+8+0+%29+=+c Simplify

So our answer is
c+=+s+q+r+t+%28+8+0+%29
which reduces to

c=4%2Asqrt%285%29