Question

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

Similarity
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.

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)