In ABC, and 5AE=3EC. If AB= 6.4 units, then the value of DB(in units) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4.
If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
Here, DE || BC and 5AE = 3EC
⇒ AE/EC = 3/5
So, AD/DB = AE/EC = 3/5
AB = AD + DB
Let AD = 3x and DB = 5x
So, AB = 3x + 5x = 8x = 6.4
⇒ x = 6.4/8 = 0.8
⇒ 5x = 5 × 0.8 = 4
Therefore, the value of DB is 4.