3. If ∆LMN ∼ ∆DFE, then : (A) LM × DE = DF × LN (B) LN × MN = DE × EF (C) MN × LM = DE × DF (D) LN × MN = DF × LN
Answers
Step-by-step explanation:
option A) LM x DE = DF x LN is the correct answer.
Given : ∆LMN ∼ ∆DFE,
To Find : Choose correct option :
(A) LM × DE = DF × LN
(B) LN × MN = DE × EF
(C) MN × LM = DE × DF
(D) LN × MN = DF × LN
Solution:
∆LMN ∼ ∆DFE
Corresponding sides of similar triangles are proportional
Hence
LM/DF = MN/FE = LN/DE
LM/DF = LN/DE
=> LM × DE = DF × LN
Hence correct option is A) LM × DE = DF × LN
Checking others
(B) LN × MN = DE × EF => LN/DE =EF/MN but LN/DE = MN/EF
(C) MN × LM = DE × DF => LM/DE =FF/MN not matching
(D) LN × MN = DF × LN => LN/DF =MN/LN not matching
Hence correct option is A) LM × DE = DF × LN
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