Question

Find the area of the triangle below. Round your answer to the nearest tenth.

Answer 1

\[A=\frac{ 1 }{ 2 }bh\]

Answer 2

b is the base, h is the height

Answer 3

I know the formula

But I need to solve the equation by finding the height and solving for area.

Answer 4

Oh you're right, I see the triangle is 97 degrees now. Tricky question. You shouldn't draw it as a right triangle

Answer 5

Oh lol, Just saw it.

Answer 6

So, 15 * 11/ 2

Answer 7

No you are right. It is more complicated.

Answer 8

Wait no, The ange is 97

Answer 9

The triangle has an angle of 97 degrees

Answer 10

yeah so we need to find the height just like you said

Answer 11

this picture is more accurate

Answer 12

Ok

Answer 13

I would start by trying to find the length of the side that is the hypotenuse for the triangle that has a 7 deg radius.

Answer 14

But we only have one length.

Answer 15

is this a new drawing?

Answer 16

Wait we should find the hypotenuse.

Answer 17

and yes

Answer 18

this triangle has to be a 30 - 60 -90

Answer 19

Ok

Answer 20

Then we can use the law of sine

Answer 21

No the law of cosine

Answer 22

And actually the picture you drew isn't correct since that isn't the triangle height

Answer 23

Which one?

Answer 24

the black line is the height

Answer 25

Ok.

Answer 26

let's rexamine the problem now

Answer 27

But what happens to the angle?

Answer 28

the angle gets split now

Answer 29

by how much we dont know yet

Answer 30

We can solve this very easy with the law of cosines by I'm not sure you need to do that. There could be an easier way

Answer 31

I think the angle would be split 45 - 52 by analysis.

Answer 32

Could we use this formula = \[1/2bc \sin A = 1/2ac \sin B = 1/2ab \sin C \]