triangle prq equal to triangle LMN if PQ equal to 6 CM BC are equal to 5 cm and angle B equal to 50 degree find and dal and tell if l m equal to 5 cm and QR equal to MN
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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
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