Can the lengths 15 cm, 12 cm, 9 cm, form a triangle?

1 Answer
Oct 9, 2017

Yup

Explanation:

A right triangle defines as two of the lower sides squared being equal to the longest side squared. This might come as little complex but to provide an example...

3,4,5 triangle.
#3^2=9#
#4^2=16#
#5^2=25#
#9+16=25# (Remember, the lowest sides "3 and 4" squared are being added and it equals the longest side squared or 5 squared.)
Therefore 3,4,5 triangles exist.

It's similar to this situation because...
#9^2=81#
#12^2=144#
#15^2=225#
#81+144=225#
Therefore yes, it is a right triangle.