A community for students.
Here's the question you clicked on:
 0 viewing
Yahoo!
 2 years ago
Let ABC be a triangle such that <ACB = 30 let a,b,c denote the lenght of the sides oppositr to A,B,C. The Values for which a=x^2 + x + 1 , b = x^2 1 and c= 2x +1 is?
Yahoo!
 2 years ago
Let ABC be a triangle such that <ACB = 30 let a,b,c denote the lenght of the sides oppositr to A,B,C. The Values for which a=x^2 + x + 1 , b = x^2 1 and c= 2x +1 is?

This Question is Closed

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0a right triangle, or just some triangle?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0law of cosines is my best bet

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0no that was a lousy bet law of sines is easier

OpenStudier
 2 years ago
Best ResponseYou've already chosen the best response.0Law of sines: \[\frac{ \sin A }{ a }=\frac{ \sin B }{ b }\]

OpenStudier
 2 years ago
Best ResponseYou've already chosen the best response.0Actually, we can compare all three: \[\frac{ \sin 30 }{ 2x+1 }=\frac{ \sin A }{ x^2+x+1 }=\frac{ \sin B }{ x^21 }\]

OpenStudier
 2 years ago
Best ResponseYou've already chosen the best response.0To solve for angles A and B, we know they are equal to 120 degrees (18030).

neba.zi
 2 years ago
Best ResponseYou've already chosen the best response.0from above we can calculate the intersection of the sides it help us to find the value of x i.e let \[^{x2+x+1= ^{x21}}\] because the y intersect at C i think we can solve like these

melanka
 2 years ago
Best ResponseYou've already chosen the best response.0use cosine rule, cos30=(3^1/2)/2=((x^2+x+1)^2+(x^21)^2(2x+1)^2)/2(x^2+x+1)(x^21) 3^1/2=(2x^4+2x^33x^22x+1)/(x^2+x+1)(x^21) by factorising the numerator 2x^4+2x^33x^22x+1=(2x^2+2x1)(x^21) then solve 3^1/2(x^2+x+1)=2x^2+2x1, its just a quadratic equation. sine rule would be too complex in this case.

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0\[(2x+1)^2=(x^2 + x + 1)^2+(x^21)^22(x^2+x+1)(x^21)\frac{\sqrt{3}}{2}\] but really i am wondering if this is a right triangle, because this looks extra annoying to solve

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0apparently 1 works, but that gives you nothing because then one side would be 0

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0\(1+\sqrt{3}\) works as well, maybe that is a good answer
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.