Q6 of 95 Page 15

In a ΔABC, BM and CN are perpendiculars from B and C respectively on any line passing through A. If L is the mid-point of BC, prove that ML=NL.

Given,


In ΔABC,


BM & CN are perpendiculars from B &C



In ∆BLM and ∆CLN


∠BML =∠CNL= 90°


BL=CL [L is mid point of BC]


∠MLB=∠NLC [vertically opposite angles]


∴ ∆BLM=∆CLN


∴ LM = LN (corresponding sides of congruent triangles)


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