SOLUTION: The vertices of a right triangle are (6,5), (2,1), and (8,1). What are the coordinates of the midpoint of the hypotenuse? Answer Choices: A) (6,3) B) (4,3) C) (5,1) D) (8,

Algebra ->  Real-numbers -> SOLUTION: The vertices of a right triangle are (6,5), (2,1), and (8,1). What are the coordinates of the midpoint of the hypotenuse? Answer Choices: A) (6,3) B) (4,3) C) (5,1) D) (8,      Log On


   



Question 66943: The vertices of a right triangle are (6,5), (2,1), and (8,1). What are the coordinates of the midpoint of the hypotenuse?
Answer Choices:
A) (6,3)
B) (4,3)
C) (5,1)
D) (8,3)

Answer by vertciel(183) About Me  (Show Source):
You can put this solution on YOUR website!
This is an analytic geometry problem. With all geometry problems, it is wise to draw a neat, accurate diagram to help you solve the problem.
I'll let you draw the diagram yourself (in this case, you can even sketch it).
Remember that the midpoint formula:
Midpoint of a line = ( Average of the x and y coordinates)
= ( (x1 + x2)/2 , (y1 + y2)/2 )
Find the points on which the hypotenuse is situated and use this formula.