The diagonal of a rectangle is 13 meters. The length is 2 meters more than twice the width. What is the length?
We can use the Theorem of Pythagoras.
Let the width be
The length is then
By Pythagoras' Theorem:
Find factors of 5 and 165 which subtract to give 8
We could also have guessed at this outcome using the
Pythagorean triples... 13 is a clue!
The common triples are: