Answer:
Answer: square root of 73
Step-by-step explanation:
Distance Between Two Points
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The triangle formed by the given points is shown in the image below. The hypotenuse of the triangle is side BC. We must find the distance between the points (-3,4) and (5,1):
[tex]d=\sqrt{(5+3)^2+(1-4)^2}[/tex]
[tex]d=\sqrt{8^2+(-3)^2}[/tex]
[tex]d=\sqrt{64+9}[/tex]
[tex]d=\sqrt{73}[/tex]
Answer: square root of 73
