In the given figure, DE || BC. If DE = 5 cm, BC = 8 cm and AD = 3.5 cm then AB = ?
Given: DE ∥ BC
DE = 5 cm
BC = 8 cm
AD = 3.5 cm
To find: AB
∵ DE ∥ BC
∴ By Basic proportionality theorem, we have
………..(i)
Now, in ∆ ADE and ∆ ABC, we have
[By (i)]
∠DAE = ∠BAC [Common angle]
∴ By SAS criterion,
∆ ADE ∼ ∆ ABC