Question

In the right triangle, find the length of the side not given. Give an exact answer and an approximation to three decimal places. a=11, b=11
What is the exact value of c?

Answer 1

is c the hypotenuse?

Answer 2

a^2+b^2 = c^2

11^2+11^2 = c^2

121 + 121 = c^2

242 = c^2

c^2 = 242

c = sqrt(242)

c = 11sqrt(2)


So \[\Large c = 11\sqrt{2}\]