Question

In the figure L, M and N are mid-point of the side PQ, PR and QR respectively of ΔPQR. If PQ=4.4cm, QR=5.6cm and PR=4.8 cm. Then find the perimeter of ΔLMN.

Answer 1

By using mid-point theorem we get

LM=1/2 of QR = 1/2*5.6=2.8 cm

LN=1/2 of PR = 1/2*4.8=2.4 cm

MN=1/2 of PQ = 1/2* 4.4=2.2 cm

Perimeter of ∆LMN = 2.2+2.8+2.4=7.4cm

Answer 2

Answer:

Step-by-step explanation:

It is given that L, M and N are mid-point of the side PQ, PR and QR respectively of ΔPQR. If PQ=4.4cm, QR=5.6cm and PR=4.8 cm.

Since, L, M and N are mid-point of the side PQ, PR and QR respectively of ΔPQR., therefore

$LM=\frac{1}{2}(QR)$

$LM=\frac{1}{2}(5.6)=2.8cm$,

$LN=\frac{1}{2}(PR)=\frac{1}{2}(4.8)=2.4cm$

and $MN=\frac{1}{2}(PQ)=\frac{1}{2}(4.4)=2.2cm$

Thus, the perimeter of ΔLMN will be given as:

$P=LM+LN+MN$

$P=2.8+2.4+2.2$

$P=7.4 cm$

Therefore, the  perimeter of ΔLMN is 7.4 cm.