SOLUTION: what is the length of the hypotenuse of a right triangle with legs of lengths 96ft and 180 ft

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: what is the length of the hypotenuse of a right triangle with legs of lengths 96ft and 180 ft      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 865383: what is the length of the hypotenuse of a right triangle with legs of lengths 96ft and 180 ft
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean Theorem a%5E2+%2B+b%5E2+=+c%5E2 where a,b are the legs and c is the hypotenuse.


In this case, we're given a=96 and b=180. Plug them in and solve for c.


a%5E2+%2B+b%5E2+=+c%5E2


96%5E2+%2B+180%5E2+=+c%5E2


9216+%2B+32400+=+c%5E2


41616+=+c%5E2


c%5E2+=+41616


c+=+sqrt%2841616%29


c+=+204


The hypotenuse is 204 feet.