Question

If Δ PQR ∼ Δ LMN & PQ = 4 cm, QR = 5 cm, PR = 6 cm. Perimeter of Δ LMN is 90 cm then LM =?cm and MN =?cm​

Answer 1

Answer:

LM = 24

MN = 30

Step-by-step explanation:

Consider 2 triangles PQR and LMN

given : PQR ~ LMN, PQ =4cm, QR = 5 cm, PR = 6cm, perimeter of LMN = 90

since, PQR ~ LMN,

4x + 5x + 6x = 90

15x = 90

x = 90/15

x = 6

LM = 4x = 4×6 = 24

MN = 5x = 5 × 6 = 30

hope u find this answer helpful

Answer 2

Step-by-step explanation:

as we know in case of similar triangle

ratio of corresponding side length is always equal, here

pq/lm=qr/mn=pr/ln=constant x

4/lm=5/mn=6/ln=x

that implies lm=4/x

mn=5/x

lm=6/x

perimeter=90

4/x+5/x+6/x=90

15/x=90

x=1/6

lm=4×6/1=24

mn=5×6/1=30