Respuesta :

Answer:

PQ =  16 2/3

Step-by-step explanation:

Since the triangles are similar , the perimeter and the lengths will have the same ratio

27            10

--------- = -----------

45             PQ

Using cross products

27 PQ = 45*10

27 PQ = 450

Divide each side by 27

27 PQ/ 27 = 450/27

PQ = 50/3

PQ =  16 2/3