Question

the perimeter of ∆LMN is 24cm. What will be the perimeter of a triangle by joining the midpoints of the sides of ∆LMN​

Answer 1

Answer:

12cm

Step-by-step explanation:

Let point P,Q,R is the midpoint of LN,NM,ML

As we know,

QR=1/2 LN

PR=1/2MN

PQ=1/2LM. [By midpoint theorem]

Therefore, the perimetre of the triangle formed by joining the midpoints of the of ΔLMN is half of its perimetre

therefore,perimetre of ΔPQR=1/2ΔLMN

=1/2*24

=12 cms