SOLUTION: If I have a right triangle with legs 6 inches and 8 inches long. How far is the midpoint of the hypotenuse from the right angle vertex

Algebra ->  Triangles -> SOLUTION: If I have a right triangle with legs 6 inches and 8 inches long. How far is the midpoint of the hypotenuse from the right angle vertex      Log On


   



Question 959020: If I have a right triangle with legs 6 inches and 8 inches long. How far is the midpoint of the hypotenuse from the right angle vertex
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Three points
(0,0)
(0,6)
(8,0)
Find the midpoint of the line from (0,6) to (8,0).
Find the average of the x and y values
x%5Bm%5D=%280%2B8%29%2F2=4
y%5Bm%5D=%286%2B0%29%2F2=3
So then the distance from (0,0) to (4,3) is the distance you need.
D%5E2=4%5E2%2B3%5E2
D%5E2=16%2B9
D%5E2=25
D=5