Question

How do I find the area of this triangle?

Answer 1

@ganeshie8

Answer 2

@agent0smith

Answer 3

@Kamizamurai

Answer 4

here you have to use your trig functions. We know \[\tan \Theta =\frac{ opp }{ adj }\]

Answer 5

and we know theta and the adjacent side so we have \[\tan39=\frac{ Z }{ 4 }\]

Answer 6

so z=4tan39

Answer 7

and we know the area of a triangle is A=1/2bh

Answer 8

now the height is 4 and the base is z and we know z=4tan39

Answer 9

so our equation becomes\[A=\frac{ 1 }{ 2 }*4*4\tan39\]

Answer 10

Sorry. I am pretty rusty with this. I just started geometry 2. What does tan mean? I forgot.

Answer 11

it is one of the trigonometric functions you have three sine, cosine, and tangent

Answer 12

now in a right triangle you have two sides and a hypotenuse and the angle

Answer 13

so sine is the opposite side over the hypotenuse, cosine is the adjacent side over the hypotenuse, and tangent is the opposite side over the adjacent

Answer 14

@recon14193 This is confusing.

Answer 15

dont worry it comes with time practice and aid stay strong and stay confident

Answer 16

Ok, thanks for all of the help. I really appreciate it. @recon14193

Answer 17

@recon14193 So what does "tan" do to the equation that you gave me above?

Answer 18

tangent is something you have to plug into you calculator there should be a tan button so you have to push tan39

Answer 19

then multiply that by four then by four again then divide by 2

Answer 20

Ok I found it. I'll try that. Thanks!

Answer 21

Hmm. Not sure if I am doing this right but I got 6.478272265560056. Does this sound correct? @recon14193

Answer 22

that sounds right good job!

Answer 23

Awesome! Thanks so much for the help!