Question

What is the distance between Point (3,6) and the midpoint of the line segment connecting Points (5,6) and (7,-2)/?

Answer 1

Answer:1,2

Step-by-step explanation:1,2

Answer 2

Answer:

Step-by-step explanation:

(5,6)  ; (7,-2)

$midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\ \\=(\frac{5+7}{2},\frac{6-2}{2})\\\\=(\frac{12}{2},\frac{4}{2})\\\\ =(6,2)$

Distance: (3,6) ; (6,2)

$Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{(3-6)^{2}+(6-2)^{2}}\\\\=\sqrt{(-3)^{2}+(4)^{2}}\\\\ =\sqrt{9+16}\\\\=\sqrt{25}\\\\ =\sqrt{5*5}\\\\ =5units$