Question

∆PRQ ~=∆LMN. If PQ =6 cm ,PR=5 cm and ∆ P=50°, find NL and ∆ L if LM = 5 cm and QE=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