Question

in triangle AKLM, D, E andF are respectively the midpoints of LM MK and KL. if the lengths of sides KL ,LM and KM are 10c., 12cm and 15cm respectively, find the perimeter of triangle DEF​

Answer 1

Answer:

a is the correct answer

Step-by-step explanation:

this is the answer

Answer 2

Answer:

Given,

• KLM is a Triangle.

• D is Mid Point of LM

• E is Mid Point of MK

• F is Mid Point of KL.

To Find :- Perimeter of DEF

Proof :-

According to Mid Point Theorem, a line segment joining the mid points of any two sides of a triangle is parallel to the third side and is half of it.

So,

If KL = 10 CM, then DE will be half of KL = 5 CM

If LM = 12 CM, then EF will be half of LM = 6 CM

If MK = 15 CM, then FD will be half of MK = 7.5 CM

Thus, Perimeter of DEF = DE + EF + FD = 5 + 6 + 7.5 = 18.5 CM

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Abhijith K S