In a triangle DEF, DP is the bisector of ∠D, meeting EF at P. If DE = 14 cm, DF = 21 cm, and EF = 9 cm, find EP.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3.6 cm.
Given that
If DE = 14 cm, DF = 21 cm, and EF = 9 cm,
Let EP be x
PF = 9 - x
According to the question
ED/DF = EP/PF
⇒ 14/21 = x/9 - x
⇒ 3x = 18 - 2x
⇒ 5x = 18
⇒ x = 18/5 = 3.6 cm