Question

A rectangular gate measures 1.2 m by 2.3 m with a 2.4 m diagonal. Is the gate

square? If not, should the diagonal be longer or shorter?

Answer 1

It is not a square, square has equal sides.

Using Pythagoras Theorem
a^2+b^2=c^2
(1.2)^2+(2.3)^2= c^2
c^2= 6.73
c= 2.594224354214569 (Negative value rejected, length cannot be negative)

Therefore the diagonal should be longer.

Hope it helps :)