What is the length of the diagonal of a 10 cm by 15 cm rectangle?

1 Answer
Noah G
Jan 26, 2016

Use Pythagorean theorem to solve this problem.

Explanation:

#a^2# + #b^2# = #c^2#

#10^2# + #15^2# = #c^2#

100 + 225 = #c^2#

#sqrt(325)# = c

5#sqrt(13)# = c

The diagonal measures 5#sqrt(13)# cm.

Practice exercises:

  1. A rectangle has a length of 4 and an area of 24 #cm^2#. Find the length of the diagonal.

  2. Find the direct distance between the points (3,-4) and (1,2).

  3. A square with the same perimeter as a rectangle has an area of 64 #cm^2#. The length of the rectangle is 4 more than the length of the side of the square. Find the length of the diagonal of the rectangle.

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