Anas and Rishi observed them and said the following:
Anas: ΔPQR is similar to ΔCBA
Rishi: ΔPQR is congruent to ΔCBA
Which of them is/are correct?
(a) Only Anas
(b) Only Rishi
(c) Both Anas and Rishi
(d) Neither of them, as two scalene triangles can never be similar or congruent.
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Answers & Comments
Answer:
(a) Only Anas
Explanation:
When you apply AA rule to both the triangles , you will find that both the triangles are similar,
AA rule does not see the placement of angles and we don't need side to prove it
Also,
It is obvious that any congruency rule such as SSS or SAS won't apply to these because only one side is given to be same,
Also if you get confused between AAS or ASA rule,
See the placement of side
In first triangle the side is between the angles but in second triangle side is not between them so it wont make them congruent,
I hope I succeeded in explaining