Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

Step-by-step explanation:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x