# Are pairs of triangles similar?Given information:12210202801.jpg

Are pairs of triangles similar?
Given information:

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Fatema Sutton
Calculation:
In $$\displaystyle\triangle{A}{B}{C}{\quad\text{and}\quad}\triangle{D}{E}{F}$$
$$\displaystyle\frac{{{A}{B}}}{{{D}{F}}}=\frac{{{4.2}}}{{{2.8}}}$$
$$\displaystyle\frac{{{A}{B}}}{{{D}{F}}}=\frac{{3}}{{2}}$$
$$\displaystyle\frac{{{B}{C}}}{{{E}{F}}}=\frac{{{4.8}}}{{{3.2}}}$$
$$\displaystyle\frac{{{B}{C}}}{{{E}{F}}}=\frac{{3}}{{2}}$$
$$\displaystyle\frac{{{A}{C}}}{{{D}{E}}}=\frac{{{3.6}}}{{{2.4}}}$$
$$\displaystyle\frac{{{A}{C}}}{{{D}{E}}}=\frac{{3}}{{2}}$$
Hence, $$\displaystyle\triangle{A}{B}{C}{\quad\text{and}\quad}\triangle{D}{E}{F}$$ are similar.