In a triangle ABC AB : AC = 5 : 2, BC = 9 cm. BA is produced to D, and the bisector of the Angle CAD meets BC produced at E. What is the length (in cm) of CE?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6
AB : AC = 5 : 2
BC = 9 cm
According to question
AB/AC = BE/CE (From bisector angle theorem)
⇒ 5/2 = (9 + CE) / CE
⇒ 5CE = 18 + 2CE
⇒ 3CE = 18
⇒ CE = 6 cm