Question

I need help to find x. See the picture.

Answer 1

Does anybody know the answer,

Answer 2

yeah, see how the 2 angles are equal?

Answer 3

And they also share that side.

Answer 4

Yes

Answer 5

use pythag thm to find that shared side. then use pthag thm again to find x

Answer 6

ok, give me a sec.

Answer 7

Would the shared side be 17.9

Answer 8

lemme check

Answer 9

30.4

Answer 10

i got 20.6

Answer 11

No. I don't believe u can use the pyth. Theorem
You would be using a proportion because since the angles are congruent, you use the angle bisector theorem which states that the sides would be proportional
So
x. 19.3
-- = ------
3.9. 7.2

Answer 12

nevermind i got 17.9

Answer 13

75.27=7.2x

Answer 14

ah true. good call @nikato

Answer 15

I don't. It's a funky answer though

Answer 16

75.27/7.2=10.45 7.2x/7.2=x

10.5=x?

Answer 17

It's an answer choice. So, I think that it's right.

Answer 18

Oh yes. Nvm. Correct! It's one of your answer choice

Answer 19

OK, thank you @nikato

Answer 20

Looks like everybody liked your help. You got three medals.

Answer 21

first time hearing angle bisector theorem lol... care to explain a bit or provide a good link @nikato :)

Answer 22

Thanks for the medals everybody!

And yes, here is the angle bisector theorem
http://www.mathwarehouse.com/geometry/similar/triangles/angle-bisector-theorem.php

Answer 23

ty :) wonder if the proof involves similar triangles and stuff... il try it later maybe..

Answer 24

No problem. I'm pretty sure you can also google up the proof. It's in there somewhere