SOLUTION: What is the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 10, 24, and 26?

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Question 579681: What is the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 10, 24, and 26?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
     AC = 10, BC = 24, AB = 26



     Draw altitude CD:


 

       ᐃABC ∼ ᐃACD ∼ ᐃCBD

Therefore 

           CD%2FAC = BC%2FAB

           CD%2F10 = 24%2F26

        26·CD = 24·10

        26·CD = 240

           CD = 240%2F26

           CD = 120%2F13 or about 9.231    

 Edwin