Question

Given: ∠1 = ∠2 If AB = 10, AC = 6, and BC = 6, find AD:

5

10

15

Answer 1

Answer: AD = 5

because AB equals 10, logically we assume AD equals 5, hopefully this helps you.

Answer 2

AD=5

Explanation:

We are given that

`\angle 1=\angle 2`

AB=10, AC=6 BC=6

We have to find the value of AD.

Let AD=x

BD=AB-AD

BD=10-x

By angle bisector theorem

`(AC)/(AD)=(BC)/(BD)`

Substitute the values then we get

`(6)/(x)=(6)/(10-x)`

`(10-x)/(x)=(6)/(6)`

`(10-x)/(x)=1`

`10-x=x`

`x+x=10`

`2x=10`

`x=(10)/(2)=5`

Hence, the value of AD=5 units