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Is △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 ​.

1 Answer

0 votes
If I have correct image with myself then DB=10,BE=16,AD=15,EC=24
Now if we check we can see â B is common between two triangle
now DB/AB=2/5
and BE/BC=2/5
As DB/AB=BE/BC
So By SAS Similarity Side-angle-side similarity. When two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, the triangles are similar.
DBE similar to ABC
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