SOLUTION: Jenn and Aaron are adding an extra room to their house. The blueprints indicate the room should be a rectangle with dimensions 9 feet by 12 feet. If they construct the rectangular

Algebra ->  Pythagorean-theorem -> SOLUTION: Jenn and Aaron are adding an extra room to their house. The blueprints indicate the room should be a rectangle with dimensions 9 feet by 12 feet. If they construct the rectangular       Log On


   

Question 523349: Jenn and Aaron are adding an extra room to their house. The blueprints indicate the room should be a rectangle with dimensions 9 feet by 12 feet. If they construct the rectangular room correctly, how long should each diagonal be?
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

The diagonal should be 15 feet.
The diagonal is not given. So the given data, 9 feet and 12 feet must be the two sides of a right angled triangle. As per Pythagorean theorem,
Hypotenuse(diagonal) = sqrt%289%5E2%2B12%5E2%29
= sqrt%2881+%2B+144%29+=+sqrt%28225%29+=+15
= So diagonal which is the hypotenuse = 15 feet.