Question

How do I solve for length X?

Answer 1

you have to use Pythagorean formula to solve this

Answer 2

3√17?

Answer 3

@Nnesha The pythagorean theorem works for non-right angle triangles?

Answer 4

for non-right

Answer 5

Im getting 12^2 + 3^2 = c^ is 3 square root of 17? Is that right?

Answer 6

First off, how do you know it is a right triangle in that you can use pythagorean theorem?

Answer 7

Nnesha told me to use the Pythagorean... :)

Answer 8

ohh yeah its use when we have right triangles
sorry about that

Answer 9

So then how do I solve this?

Answer 10

Since line DB is an angle bisector, the Angle Bisector Theorem states that :we can create a ratio of the sides,

Answer 11

So:

segment CB segment AB
____________ = _______________
segment CD segment AD

Answer 12

All we have to do now is plug in our values and cross multiply.

Answer 13

\[\frac{x}{2}=\frac{12}{3}\]

Answer 14

Can you solve for \(x\) now? :)

Answer 15

x=8 right?

Answer 16

You are right! :)

Answer 17

Thanks very much!

Answer 18

No problem :)