![SearchIcon](https://vmkt.vedantu.com/vmkt/PROD/png/bdcdbbd8-08a7-4688-98e6-4aa54e5e0800-1733305962725-4102606384256179.png)
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
476.1k+ views
Hint: We need to consider 2 triangles \[\Delta ABC\] and \[\Delta EFG\].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 \[\Delta ABC\] and \[\Delta EFG\]
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
\[\angle ABC=\angle EFG\] (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
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.
![seo images](https://www.vedantu.com/question-sets/068bc777-c3b0-4ad1-8d2d-e0a6663453e35716215563161547972.png)
Here we consider any two triangles \[\Delta ABC\] and \[\Delta EFG\]
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
\[\angle ABC=\angle EFG\] (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
Recently Updated Pages
What percentage of the area in India is covered by class 10 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of a 6m wide road outside a garden in all class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the electric flux through a cube of side 1 class 10 physics CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
If one root of x2 x k 0 maybe the square of the other class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The radius and height of a cylinder are in the ratio class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
An almirah is sold for 5400 Rs after allowing a discount class 10 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why is there a time difference of about 5 hours between class 10 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Explain the Treaty of Vienna of 1815 class 10 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write an application to the principal requesting five class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)