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 ​.