Question

Ordered the sides in the triangle from shortest to longest?

Answer 1

The sine rule states that

`(\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)`

Where a is the opposite side to angle A, b is the opposite side to angle B, and c is the opposite side to angle C

In our problem:

`(\sin(40degree))/(EF)=(\sin(55degree))/(FG)=(\sin(85degree))/(EG)`

Remember that the function sine is growing in the interval [0,90°]; therefore, from the first 2 equalities