To the nearest hundredth of a centimeter, what is the length of a leg of the triangle?

For this case we can use the following trigonometric relationship:   cos (45) = x / 125.5  from here, we clear the value of x:   x = 125.5 * cos (45)  rewriting we have:   x = 125.5 * (root (2) / 2)  x = 88.74190104 cm  round to the hundredth:   x = 88.74 cm  answer:   x = 88.74 cm