Answer with explanation:
It is given that Two angles and one side in a triangle are equivalent to those in another triangle.
Let A , B and C are two angles of Triangle.And P, Q and R are three Angles of another Triangle.
A=P-----(a)
B=Q-------(b)
→A+B+C=180°-----[Using Angle sum property of triangle]----(1)
→P+Q+R=180°-----[Using Angle sum property of triangle]----(2)
From (1) and (2)
→A+B+C=P+Q+R
Using a and b
→ C=R
⇒So,third Angle of two triangles are equal to each other .
⇒Now information about other two sides is not given.But the two triangles will be similar by Angle-Angle (Abbreviated as AA) Similarity.
⇒So,if the Triangles are similar then their corresponding sides will be proportional.
So,Third side will be equal to each other and corresponding side will be Proportional to each other.
