Question

ZDAC = ZBAD.
What is the length of AC?
Round to one decimal place.

Answer 1

x = 5.7

Explanation:

Use the Triangle-Angle-Bisector Theorem.

`(CD)/(DB)` =
`(AC)/(AB)`

Substitute the corresponding side lengths.

`(2)/(2.8)` =
`(x)/(8.1)`

Cross Multiply.

16.2 = 2.8x

Divide each side by 2.8.

`(16.2)/(2.8)` =
`(2.8x)/(2.8)`

Since 2.8 cancels out 2.8x, your left with x.

Then divide 16.2 by 2.8.

x = 5.7