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

Answer:

AD=5

Step-by-step 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

$\frac{AC}{AD}=\frac{BC}{BD}$

Substitute the values then we get

$\frac{6}{x}=\frac{6}{10-x}$

$\frac{10-x}{x}=\frac{6}{6}$

$\frac{10-x}{x}=1$

$10-x=x$

$x+x=10$

$2x=10$

$x=\frac{10}{2}=5$

Hence, the value of AD=5 units