If ΔABC is similar to ΔPQR, the ratio of perimeter of ΔABC to perimeter of ΔPQR is 36:23 and QR= 3.8 cm, then the length of BC is:

Correct option is C

Given:

ΔABC ∼ΔPQR (ΔABC is similar to ΔPQR)

Ratio of perimeter of ΔABC to perimeter of ΔPQR = 36:23

QR = 3.8 cm

Concept Used: In similar triangles, the ratio of the lengths of corresponding sides is equal to the ratio of the perimeters. Therefore, if the perimeter ratio of ΔABC to ΔPQR is 36:23, then the ratio of the corresponding sides (including BC and QR) will also be 36:23.

Formula Used:

​$$\frac{\text{Perimeter of } \Delta ABC}{\text{Perimeter of } \Delta PQR}=\frac{\text{BC}}{\text{QR}}$$​​

Solution: