16) A rectangle has dimensions of 10 feet by 18 feet. What is the length of the diagonal? A) 28 feet B) 20.6 feet C) 15 feet D) 424 feet
Mathematics · College · Tue Nov 03 2020
Answered on
In order to find the diagonal, lets try and use the Pythagorean Theorem.
The theorem is: a2+b2=c2 where a is one side, b the other side and c the hypotenuse. We can use it in this case because the diagonal creates a right angle inside the rectangle.
a=10 feet
b=18 feet
c=?
Lets use the formula:
a2+b2=c2
10^2+18^2 = c2
100+324=c2
c2=424
Square roots both sides.
sqrt c2 = sqrt 424
c= 20.6 feet