Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex]. If we plug the side lengths in for a and b, we get [tex]4^2 + 6^2 = c^2[/tex]. This can be simplified to [tex]16+36=c^2[/tex], or [tex]52 = c^2[/tex]. If we root both sides, we find that c is equal to [tex]\sqrt{52}[/tex], which is slightly more than 7, at around 7.2.
