In the given figure, DE || B. If AD = 5cm, DB = 10cm and AE = 8cm, then AC is:

Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 24 cm.
In the given diagram -
DE || BC
AD/DB = AE/EC
5/10 = 8/EC
EC = 8(10)/5 = 8 × 2 = 16
AC = AE + EC = 8 + 16 = 24 cm