Question

Similar Triangles and Triginimetric Functions Use the figure below. What does similarity imply about the ratios (BC)/(AB), (DE)/(AD), and (FG)/(AF)?

Similarity
Similar Triangles and Triginimetric Functions Use the figure below.
What does similarity imply about the ratios $$\displaystyle\frac{{{B}{C}}}{{{A}{B}}},\frac{{{D}{E}}}{{{A}{D}}},{\quad\text{and}\quad}\frac{{{F}{G}}}{{{A}{F}}}$$?

2021-03-10

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.