Question

In Δ DEF AB ║ EF such that AD = 6 cm, AE = 18 cm and BF = 24 cm. Find the length of DB​

Answer 1

Answer:

8 cm

Step-by-step explanation:

∠DEF = ∠DAB (Corresponding angle)

∠DFE = ∠DBA (Corresponding angle)

∠ADB = ∠EDF (Common angle)

ΔDEF ≅ ΔDAB (A.A.A Similarity criteria)

AD/AE = DB/BF

6/18 = DB/24

DB = 6*24/18 = 8 cm