Question

“L, M, N are mid points of sides AB,BC and CA respectively". If perimeter of 1 poi
triangle ABC is 60 units, then perimeter of triangle LMN is
Your answer​

Answer 1

Answer:

60units same

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given:△ABC is an equilateral triangle and L,M,N are the mid-points of the sides AB,BC and CA respectively.

Since L and N are the mid-points of AB and AC respectively.

∴LN=

2

1

BC (by mid-point theorem)

Since L and M are the mid-points of AB and BC respectively.

∴LM=

2

1

AC(by mid-point theorem)

Since M and N are the mid-points of BC and AC respectively.

∴MN=

2

1

AB(by mid-point theorem)

∴LN=

2

1

BC,LM=

2

1

AC,MN=

2

1

AB .........(1)

Now,△ABC is an equilateral triangle,

∴AB=BC=CA

⇒

2

1

AB=

2

1

BC=

2

1

CA

⇒MN=LN=LM

Hence △LMN is an equilateral triangle.

Hence the given statement is true.

solution