PLEASE HELP ME PLESEE ! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 25 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!) PLEASE GIVE EXPLANATION!

a) 35 ft

b) 35 ft

Step-by-step explanation:

a) x² = 25² + 25² = 625 + 625 = 1250

x = √1250 = 35.36 ft

b) sin 45° = 25/x

0.7071 = 25/x

0.7071x = 25

x = 25/0.7071

x = 35.36 ft

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

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