Question

ABC is an equilateral triangle and L, M N are the mid points of the sides AB, BC and CA
respectively. Prove that LMN is an equilateral triangle.
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Answer 1

Answer:

when ABC is a equilateral triangle

Step-by-step explanation:

1. if lmn are mid points then it divides that AB,BC,CA .
2. triangle ALM,BLN,NMC are congruent by sss criteria .
3. by this we can conclude that LM,NM,LN are equal by c.p.c.t
4. when LM,LN,NM are equal then triangle LMN is a equaleral triangle by sides

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