Question

Triangle PRQ congruent to triangle LMN. If PQ=6cm, PR=5cm and angle P=50°, find NL and angle L if LM=5cm and QR=MN

Answer 1

Answer: NL = 6cm and angle L = 50°

Step-by-step explanation:

triangle PRQ is congruent to triangle LMN.e.g., ΔPRQ ≅ ΔLMN

So, ∠PRQ = ∠LMN

∠RQP = ∠MNL

∠QPR = ∠NLM = 50°

so, angle L = 50°

And we know , in case of two congruent triangles , ratio their corresponding sides are equal.

e.g., QR/MN = PQ/NL = PR/LM

or, PQ/NL = PR/LM

or, 6cm/NL = 5cm/5cm

or, NL = 6cm

Answer 2

Answer:

triangle PRQ = triangle LMN

angle RQP = anhle MNL

angle QRP = angel NLM = 50*

angle L = 50*

PQ/NL =PR/LM

6cm/NL =5cm /5cm

NL=6cm