2. The ceiling of Katie's living room is a square that is 10 ft long on each side. Katie knows the diagonal of the
ceiling from comer to comer must be longer than 10 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Katie's ceiling in two ways. Be sure to show your work for each method.
Round to the nearest whole number. Your answers should be the same.
a. Using the Pythagorean Theorem
b. Using trigonometry ratios (Hint: what angle is formed when you cut the square diagonally?)