Answer:
NE = 37
MD = 3[tex]\sqrt{65}[/tex]
Step-by-step explanation:
NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra
Assuming the calculations you so kindly did for us are correct:
To find NE
Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.
So
NE = 37
To find MD
A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that
28^2 + b^2 = 37^2
784 + b^2 = 1369
b^2 = 585
b = 3[tex]\sqrt{65}[/tex]
(In which b is MD)
So
MD = 3[tex]\sqrt{65}[/tex]
