20. In a triangle, if DE ।। BC and AD = 1.5 cm, DB = 3 cm, AE = 2 cm, then EC = ?

Here’s a Step by Step Solution
Step 1
Write down the given values: AD = 1.5 cm, DB = 3 cm,
AE = 2 cm.
Step 2
Set up the ratio using the property of similar triangles:
AD/DB = AE/EC
Step 3
Substitute the known values into the ratio:
1.5/3 = 2/EC
Step 4
Cross-multiply to solve for EC: 1.5⋅EC=3⋅2
Step 5
Divide both sides by 1.5 to find EC: EC= 6/1.5 = 4 cm.
Final Answer: 4 cm