Question

Ordered the sides in the triangle from shortest to longest?

Answer 1

The sine rule states that

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

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:

$\frac{\sin(40degree)}{EF}=\frac{\sin(55degree)}{FG}=\frac{\sin(85degree)}{EG}$

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

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