Given:

Consider the given triangle,

Calculation:

From part (a), the given triangles are similar.

In similar triangles, the ratio of the corresponding sides is equal.

\(\displaystyle\frac{{{B}{C}}}{{{A}{B}}}=\frac{{{D}{E}}}{{{A}{D}}}=\frac{{{F}{G}}}{{{A}{F}}}\)

Therefore, from the given triangles,

Hence, the given ratios are equal.