What is the length of a diagonal of a rectangle with length 12 and width 5?

1 Answer
Nov 28, 2016

Answer:

The length of the diagonal is 13.

Explanation:

The diagonal of a rectangle creates a right triangle with the length and width of the rectangle being the sides and the diagonal being the hypotenuse.

The Pythagoras theory states:

#a^2 + b^2 = c^2# for right triangles where #x# is the hypotenuse.

We are given the length and width as 12 and 5 so we can substitute and solve for #c#:

#12^2 + 5^2 = c^2#

#144 + 25 = c^2#

#169 = c^2#

#sqrt(169) = sqrt(c^2)#

#13 = c#