SOLUTION: Find the missing length of the right triangle <a href="http://s293.photobucket.com/albums/mm56/cool_user2004/?action=view&current=2.jpg" target="_blank"><img src="http://i293.ph

Algebra ->  Formulas -> SOLUTION: Find the missing length of the right triangle <a href="http://s293.photobucket.com/albums/mm56/cool_user2004/?action=view&current=2.jpg" target="_blank"><img src="http://i293.ph      Log On


   

Question 139945: Find the missing length of the right triangle
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's use Pythagoreans theorem to solve this problem

Pythagoreans theorem:

a%5E2%2Bb%5E2=c%5E2 where a and b are the legs of the triangle and c is the hypotenuse



7%5E2%2B24%5E2=c%5E2 Plug in a=7, b=24. Now lets solve for c.


4+9+%2B+5+7+6+=++c++%5E+2 Square each individual term



6+2+5+=++c++%5E+2 Combine like terms


s+q+r+t+%28+6+2+5+%29+=+s+q+r+t+%28++c++%5E+2+%29 Take the square root of both sides


25=c Simplify the square root


So our answer is
c=25


So the length of the unknown side is 25 units.