SOLUTION: A piece of a broken wheel is shown. It was taken to a machine shop to be replaced with a new “whole” wheel. Find the radius of the wheel if AC = 10 cm, BD = 3 cm, and D is the midp

Algebra ->  Points-lines-and-rays -> SOLUTION: A piece of a broken wheel is shown. It was taken to a machine shop to be replaced with a new “whole” wheel. Find the radius of the wheel if AC = 10 cm, BD = 3 cm, and D is the midp      Log On


   

Question 939970: A piece of a broken wheel is shown. It was taken to a machine shop to be replaced with a new “whole” wheel. Find the radius of the wheel if AC = 10 cm, BD = 3 cm, and D is the midpoint of AC. Round to the nearest hundredth.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let r=radius



You now have a right triangle with legs of (r-3) and 5 and hypotenuse=r
5^2+(r-3)^2=r^2
25+r^2-6r+9=r^2
6r=34
r=5.67 cm