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Mathematics 14 Online
Sarah10:

matttth

Sarah10:

http://prntscr.com/ic76v5

Sarah10:

choices http://prntscr.com/ic76y9

Shadow:

@Sarah10 What do you think?

Sarah10:

so at this point im confused am i supposed to make a proportional statement?

Sarah10:

or do i use Pythagorean theorem to find the x ?

Sarah10:

wait do i go like 25^2 and i choose one of the degrees in the choices to find which one gives me 180 ?

Shadow:

First off, by what means are these triangles similar?

Sarah10:

is it SSS?

Shadow:

Yes

Shadow:

All the sides are similar by a common proportion of 3

Shadow:

So when you have three sides, and want to solve for an angle, what should you use?

Sarah10:

Pythagorean theorem

Sarah10:

am i wrong lol?

Shadow:

That formula is: \[a^2 + b^2 = c^2\] Whilst it does relate three sides, and does apply to right angles, it makes no reference to an angle. Thus we cannot use it, since it only talks about the legs and hypotenuse of a right triangle.

Sarah10:

wait ill solve it and you tell me if im wrong

Shadow:

Okay

Sarah10:

25+53=78 78-180= 102 102+53+25=180 therefore C is correct

Sarah10:

i messed up didnt i XD

Shadow:

You're correct, but I don't know about that math... I used the Law of Cosines. Have you heard of it?

Sarah10:

i havent learned about it but i have a question regarding it http://prntscr.com/ic7dkh can you please help ?

Sarah10:

are you supposed to learn about that in geometry or trig ?

Shadow:

Law of Cosines: \[a^2 = b^2 + c^2 - (2bc) \cos A \]

Shadow:

It's trig

Sarah10:

so how will i input that formula from this http://prntscr.com/ic7dkh

Shadow:

I was referring to the previous problem.

Sarah10:

oh i see

Shadow:

I used Law of Cosines and got 53. When you did that adding of angles, that didn't make any sense.

Sarah10:

lol i dont know but ive been doing it like that for a while

Shadow:

25 + 53 is 78. That's two angles. The third angle is 90 degrees. That's why it doesn't make sense. 78 + 90 = 168.

Sarah10:

first i did was take the given degree and add it to one of the choices so 25 + 53= 78 after i got that i subtracted 78 from 180 (i always subtract it with 180) after i get my result which is 102 then i see if they all add up to be 180 102+53+25=180

Sarah10:

im in geom i haven't been taught about cos i dont know why she is giving it to us ..

Sarah10:

do you get how i was thinking lol

Shadow:

Yeah, I am sure you could do this some other way. But Law of Cosines is easy, and fast. Your method relies on the number you grab from multiple choice (if there is any) is the correct one. Even then, you are using angles from different triangles. Thus why you get 78 after adding two angles, even though 90 is the third angle for both. The number is off because you're using angles from different triangles.

Shadow:

Have you ever worked with sin, cos, or tan before?

Sarah10:

no i have not i think i will be getting into it soon

Sarah10:

oh i get the method i use will be at a disadvantage if i had no choices

Sarah10:

thank you veryyy much !!

Shadow:

I may have time tomorrow to teach you Law of Sines/Cosines. It will make Geometry a breeze and the rules are easy to remember. If you're on around this time.

Sarah10:

thank you very much

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