ASAP PLEASE!

A decorator’s client requests a square rug for a living room. The rug should measure approximately 13.5 feet from one corner to the opposite corner. When searching for a rug, which approximate side length should the decorator select?

We know that since it's a square, the lenght size is the same on all sides. We can simply use pythagoras theorem:

a^2 + a^2 = 13.5^2

13.5^2 = 182,25‬

182,25 : 2 (because there are 2 'a') = 91,125

The square root of 91,125 is 9,55 feet.

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle