Question

if one angle of a triangle is equal to one angle of the other triangle and the including sides of these angles are proportional then the two triangles are similar​

Answer 1

Answer:

Yes..! the two triangles will be similar. ✔️

Step-by-step explanation:

Consider two triangles, ∆ ABC and ∆ PQR,

If < B = < Q..

and (AB/PQ) = (BC/QR)

Then by " S-A-S Similarity-Rule", both the ∆s will be similar and hence, other two angles will be equal, other two corresponding sides will be proportional.

Answer 2

Answer:

Similarity of Triangles Theorem

If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar. This is also called SAS (Side-Angle-Side) criterion.