Math Forum :: View topic – 請指教…F.2的幾何問題

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dimingc

Joined: 13 Mar 2005Posts: 8

Posted: Fri Apr 01, 2005 9:20 pm    Post subject: 請指教…F.2的幾何問題

In the figure, ∠ABD=∠DBC=∠AED=30° and BD=DE.

Is ABC an equilateral triangle? Why?

CMC

Joined: 23 Jan 2004Posts: 4

Posted: Fri Apr 01, 2005 9:30 pm    Post subject:

Since ∠ABE=∠AEB, therefore triangle ABEis a isos. triangle.(opp.sides eq.∠s). ∠BAE=120° Since BD=DE, therefore ∠BAD=∠DAE=60° Since ∠BAC=∠ABC=60°, ∠ACB=60°

therefore triangle ABC is a equilateral triangle.

dimingc

Joined: 13 Mar 2005Posts: 8

Posted: Fri Apr 01, 2005 9:36 pm    Post subject:

But there is a problem.
That is BDE and ADC may not be a st. line.

Illusion

Frequent VisitorJoined: 19 Jan 2005Posts: 37

Posted: Fri Apr 01, 2005 11:04 pm    Post subject:

dimingc wrote:

But there is a problem.
That is BDE and ADC may not be a st. line.

呢條題目係係邊度搵出黎? 如果係教科書, 有時佢俾幅圖,

幅圖顯示係直線,就即係話佢係直線- -...

dimingc

Joined: 13 Mar 2005Posts: 8

Posted: Fri Apr 01, 2005 11:15 pm    Post subject:

Illusion wrote:

dimingc wrote:

But there is a problem.
That is BDE and ADC may not be a st. line.

呢條題目係係邊度搵出黎? 如果係教科書, 有時佢俾幅圖,

幅圖顯示係直線,就即係話佢係直線- -...

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