Question

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

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asked 2020-10-27

Are pairs of triangles similar?
Given information:
image

Answers (1)

2020-10-28
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.
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