Question 139945

Let's use Pythagoreans theorem to solve this problem


Pythagoreans theorem:


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




{{{7^2+24^2=c^2}}}  Plug in a=7, b=24. Now lets solve for c.



{{{4 9 + 5 7 6 =  c  ^ 2}}} Square each individual term




{{{6 2 5 =  c  ^ 2}}} Combine like terms



{{{s q r t ( 6 2 5 ) = s q r t (  c  ^ 2 )}}} 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.