Question

@GoldEverything
You're really helpful, could you help me with this one too?

Dan is making a border for a triangular placemat. He wants it to have side lengths of A=8 in. and B=4 in. If the measure of angle C= 50 degrees, how many different placemats can Dan make?

a. 0
b. 1

Answer 1

They're basically asking if they can make a triangle witht he given triangle hence the number of placemats.

Answer 2

I think the answer is 1, is that right?

Answer 3

A triangle has 6 parts, 3 angles (the uppercase letters) and 3 sides (the lowercase letters) and anyways if we have sides a=8 and b=4 and the angle in cluded (C is the angle between sides a and b) is 50 degrees .

Answer 4

K, thanks for the triangles.

Answer 5

Is the answer 1?

Answer 6

I would presume, is this multiple choice?

Answer 7

Yes, it is

Answer 8

You would have to find the third sidee (c) with the law of cosines c² = a² + c² - 2bc cosC

Answer 9

Cool, thanks for the help.

Answer 10

\[c^2=4^2+8^2-2(4)(8)(\cos 50)\]

Answer 11

sorry i was so late hopefully pie helped you out really well

Answer 12

I got C=6.23

Answer 13

@GoldEverything, it's okay! Thanks so much for the help earlier! Pie is really helping out!

Answer 14

Ok, and since you got a value for c tyou now have to try this theorem, two of the sides of the traingle have to be greater than the last side so in other words

Answer 15

a=4
b=8
c=6.23

a+b>c
a+c>b
b+c>a

Answer 16

If any of those aren't true, then you dont have a triangle and so its - and if they all works then you have 1 triangle, tell me what you get for each

Answer 17

Cool. Solving it right now!

Answer 18

12> 6.23, So that's true.
10.23> 8, So that's true.
14.23> 4
So there is one triangle

Answer 19

I get it now, thanks for all the help.

Answer 20

Yep, so that's your answer, if you enjoyed my experience with me, be sure to fan and write something while you're at it =), also just let me know if you need anymore help

Answer 21

Okay, thanks again. :)

Answer 22

sorry again for being late if you need any more help just ask me or my friend @doulikepiecauseidont

Answer 23

It's fine! :) Will do! You both have really helped!

Answer 24

thats the point for open study were just working my the code of conduct

Answer 25

Haha yea