Question 755404: If the perimeter of a rectangle is 34 inches and one side equals 5 inches, what is the length of its diagonal
Answer by pragya.ban@gmail.com(32)   (Show Source):
You can put this solution on YOUR website! If the perimeter of a rectangle is 34 inches and one side equals 5 inches, what is the length of its diagonal.
First of all, we need to find the other side. To do so, we need to use the perimeter formula. Let's assume the unknown side to be x:
5+5+x+x=34
10+2x=34
2x=24
x=12
So the other side is 12 inches. Now using the pythagorean theorem, we can find the diagnol(c):
(5^2)+(12^2)=c^2
25+144=c^2
169=c^2
c^2=169
c^2=13^2
c=13
So the diagonal is 13 inches.
Hope this helps! If not, feel free to ask again.
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