Question

Determine whether the triangles are similar. If similar, state how (AA\sim, SSS\sim,\ or\ SAS\sim), and write a similarity statement.

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asked 2021-08-09
Determine whether the triangles are similar. If similar, state how (\(\displaystyle\forall\sim,{S}{S}{S}\sim,\ {\quad\text{or}\quad}\ {S}{A}{S}\sim\)), and write a similarity statement.
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Answers (1)

2021-08-10
In \(\displaystyle\triangle{S}{T}{W}\ {\quad\text{and}\quad}\ \triangle{A}{D}{E}\)
\(\displaystyle{\frac{{{S}{T}}}{{{A}{D}}}}={\frac{{{W}{T}}}{{{D}{E}}}}={\frac{{{S}{W}}}{{{A}{E}}}}\)
\(\displaystyle{\frac{{{42}}}{{{30}}}}={\frac{{{42}}}{{{30}}}}={\frac{{{35}}}{{{25}}}}\)
\(\displaystyle{\frac{{{7}}}{{{5}}}}={\frac{{{7}}}{{{5}}}}={\frac{{{7}}}{{{5}}}}\)
so \(\displaystyle\triangle{S}{T}{W}\sim\triangle{A}{D}{E}\) (By SSS similarity)
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