Triangle ABC has side lengths AB=7.75, BC=10.75 and CA=x. Given that x is an integer, what is the maximum possible value of x?

Question

akashdeepdeb · Answer

There is a law that states that in ANY triangle the sum of two sides should be greater than the third side!
Thus AB + BC > AC or x
AB + BC is 18.5
Thus x HAS to be just less than that for it to be the greatest value and as it is said that x is an integer we can say that X = 18! :D
Because then the sum of the other 2 sides is STill greater than x [18.5 > x]
I hope this helped!

anonymous · Answer

@AkashdeepDeb, kudos, beautiful because of its simplicity !!!

akashdeepdeb · Answer

:)