Math Forum :: View topic – 求三個內角度數和三條邊的長

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Hilda

Joined: 15 Apr 2004Posts: 12

Posted: Fri Apr 16, 2004 11:57 pm    Post subject: 求三個內角度數和三條邊的長

已知△ABC的三邊是a、b、c,其中a、b是方程x2-4(√3 +1)x+16√3=0的兩個根,且a>b,方程a(1-x2)+2bx+c(1+x2)=0有兩個相等的實數根,求三個內角度數和三條邊的長。

me

Frequent VisitorJoined: 12 Feb 2004Posts: 194

Location: Hong Kong

Posted: Sat Apr 17, 2004 2:11 am    Post subject: Re: 求三個內角度數和三條邊的長

Hilda wrote:

已知△ABC的三邊是a、b、c,其中a、b是方程x2-4(√3 +1)x+16√3=0的兩個根,且a>b,方程a(1-x2)+2bx+c(1+x2)=0有兩個相等的實數根,求三個內角度數和三條邊的長。

Just use sum of roots and product of roots and △, which have been mentioned in the previous post.

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