Question

triangle PRQ congruent. If PQ = 6 cm, PR = 5 cm and angle P= 50°, find NL and angleL if LM = 5 cm and QR =MN.​

Answer 1

Answer:

In △PQR and △LMN

⇒ PQ=QR and QR=LN

∴ PQ=LN

⇒ ∠P=∠M

⇒ Here, only one side and one angle are equal, so these both triangle cannot be congruent.

⇒ Two angles in both triangles are also not equal so, triangles are not isosceles.

Answer 2

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In △PQR and △LMN

⇒ PQ=QR and QR=LN

∴ PQ=LN

⇒ ∠P=∠M

⇒ Here, only one side and one angle are equal, so these both triangle cannot be congruent.

⇒ Two angles in both triangles are also not equal so, triangles are not isosceles.

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