Question

Please help. Find the value of each variable. If your answer is not an integer, express it in simplest radical form.

Answer 1

we know that

cos 45= sin 45
cos 45=√2/2-------> equation 1
in the problem
cos 45=y/11√2----> equation 2

equate 1 and 2
√2/2=y/11√2---------> y=11√2*(√2/2)---->y=11

the legs of the triangle are
11 units
11 units
the hypotenuse 
11√2