Question

In the given figure if ∠ADE=∠ABC, If AB = 10cm AC= 12cm AD =6cm then CE is equal to

Answer 1

Answer: DB=7.5cm

Step-by-step explanation:

Given: AD is the bisector of ∠BAC

and by Angle-Bisector theorem which states that

if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.

∴DBCD​=ABAC​

⟹BC−CDCD​=106​

⟹CD(CDBC​−1)CD​=106​

⟹CDBC​=610​+1

⟹CD12​=916​

CD=29​=4.5cm

And BC−CD=DB

12−4.5=DB

DB=7.5cm