Question

http://i.imgur.com/nNBSO6j.png Find the side of x.

Answer 1

you can use the Pythagorean theorem to find the x.

This theorem says, that if your triangle is a right triangle, then the sides of these triangle will satisfy the following equation:
a² + b² = c²

where c is the hypotenuse.

Answer 2

30 is the angle, not the side.

Answer 3

oh, my fault...

Answer 4

30º is complementary with the angle above x, (lets name it gº)

Answer 5

that means that gº+30º=90º

So the angle above x (angle gº as I named it) is equal to ?

Answer 6

60

Answer 7

yes. this gº is 60º.

So then the angle far to the left (lets name it wº) can be found using the fact that the sum of all angles in a triangle (in any triangle) is equal to 180º.

Answer 8

Your angles are gº , 90º , wº
you have found the gº=60º

So your angles are 60º , 90º , wº

and as in any triangle, they sum must be equal to 180º, so lets write that:

60º + 90º + wº = 180º

Answer 9

can you solve for w?

Answer 10

Then use the sign law

\(\Large \dfrac{x}{\sin(w^\circ)}=\dfrac{19}{\sin(g^\circ)}\)

(remember that:
1. g is your angle obve the x, that is 60º
2. w is your left-most angle that is (you have to find that)
and plug this information in into the above sign law)

good luck

Answer 11

\[\frac{ x }{ \sin 30 } =\frac{ 19 }{ \sin 60 } \]

\[9/\sin 60 = \frac{ \sqrt{3} }{ 2 } \]
Okay, I have no idea what else to do.

Answer 12

another way