Solution:
It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS) Similarity theorem.
So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.
So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,
⇒
The system of equations have no solution.
Explanation:
The equations are and
To find the two numbers, let us solve the equations using substitution method.
From the equation , let us determine the value of r,
Let us substitute the value of r in , we get,
which is not possible.
This means that the system has no solution.
