Question 126357
I'm assuming you want to find the hypotenuse right?


So we basically have this triangle set up:


{{{drawing(500,500,-0.5,2,-0.5,3.2,

line(0,0,0,3),
line(0,3,2,0),
line(2,0,0,0),
locate(-0.2,1.5,5),
locate(1,-0.2,2),
locate(1,2,x)
)}}}

Since we can see that the triangle has legs of 5 and 2 with a hypotenuse of x, we can use Pythagoreans theorem to find the unknown side.



Pythagoreans theorem:


{{{a^2+b^2=c^2}}} where a and b are the legs of the triangle and c is the hypotenuse




{{{5^2+2^2=x^2}}}  Plug in a=5, b=2, and c=x. Now lets solve for x



{{{2 5 + 4 =  x  ^ 2}}} Square each individual term




{{{2 9 =  x  ^ 2}}} Combine like terms



{{{s q r t ( 2 9 ) = s q r t (  x  ^ 2 )}}} Take the square root of both sides



Which approximates to...


{{{5.3851648071345=x}}}


So our answer is

{{{x=5.3851648071345}}}



which means {{{C=5.3851648071345}}}