Question

We can find the length of DE using the Pythagorean Theorem:

DE2 = 32 + 22


Which formula also represents the length of DE?
A) DE = (4 - 1)2 + (1 - 3)2

B) DE = (4 - 1)2 - (1 - 3)2

C) DE =
(4 - 1)2 + (1 - 3)2

D) DE = (4 - 1)2 - (1 - 3)2

Answer 1

What's the difference between A) and C)??
There should be an E) because the correct answer would be in either of these forms:
${DE}^{2} = {(4 - 1)}^{2} + {(1 - 3)}^{2} \: \: or \\ DE = \sqrt{( {3}^{2} + {2}^{2} )} \: \: or \\ {DE}^{2} = {(4 - 1)}^{2} + {(3 - 1)}^{2}$

Answer 2

the answer is 

C)  DE = (4 - 1)2 + (1 - 3)2

rewriten 

DE = sqrt (4 - 1)^2 + (1 - 3)^2