MATH SOLVE

4 months ago

Q:
# NEED HELP ASAP 30 pointsIs △DBE similar to △ABC ? If so, which postulate or theorem proves these two triangles are similar? △DBE is similar to △ABC by the SAS Similarity Theorem . △DBE is similar to △ABC by the SSA Similarity Theorem . △DBE is similar to △ABC by the SSS Similarity Theorem . △DBE is not similar to △ABC .

Accepted Solution

A:

Answer:△DBE is similar to △ABC by the SAS Similarity Theorem .
Step-by-step explanation:Given triangles in figurewe have to tell that is the triangles are similar or if similar then by which postulate.In ΔDBE and ΔABC,[tex]\frac{DB}{AB} =\frac{EB}{CB}[/tex]⇒[tex]\frac{10}{10+15}= \frac{16}{16+40}[/tex]⇒[tex]\frac{2}{5}=\frac{2}{5}[/tex]Hence, the sides of triangle are proportional.And also ∠B=∠B (common) i.e the one angle congruentHence, △DBE is similar to △ABC by the SAS Similarity Theorem .