Question

If the 2 sides and included angle of a triangle are respectively equal to 2 sides and the included angle of thee other triangle, the 2 triangles are congruent. If true entre 1 else 0.

Answer 1

Hint: We need to consider 2 triangles $$\mathrm{\Delta }ABC$$ and $$\mathrm{\Delta }EFG$$.Since here details about 2 sides and an angle is given we can use SAS congruence. Then we should check whether the given statement is correct or not. If the statement is the correct answer will be or else 0.

Complete step by step answer:

We know that SAS stands for "side, angle, and side". This means that we have two triangles ABC and EFG where two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, then the triangles are said to be congruent.

Here we consider any two triangles $$\mathrm{\Delta }ABC$$ and $$\mathrm{\Delta }EFG$$
In these triangles, as per the given question.
Two sides of both the triangles are equal. Let those sides be AB and BC of the first triangle corresponding to EF and FG of the second triangle.
AB = EF
BC = FG
$$\mathrm{\angle }ABC=\mathrm{\angle }EFG$$ (The angle which are equal in both the triangles)
Then by SAS congruence, these triangles are congruent
Therefore the given statement is true
Then the answer is 1
This is the required solution
Note:
 There are 5 types of congruence by which we can prove congruence between any 2 triangles. Since here details about 2 sides and an angle are given we can use SAS congruence. The question should be understood properly. Without proper analysis, the answer should not be given. Should be very confident with Congruency rules and have to apply it carefully