BdMO Junior 2009/9
One angle of a triangle is twise of another angle of the same triangle. An angle of this triangle is 120 degree. The bisector of the second largest triangle intersects its opposite side at point $D$. The distance of $D$ from the vertex containing the largest angle is $10\, cm$. If the length of the largest side of this triangle is $2x$, then a relation like the following is true:
\[x^4-C_3x^3-C_2x^2-C_1x+1875=0\]
Find the value of $C_1,C_2 \, and C_3$ analytically.
\[x^4-C_3x^3-C_2x^2-C_1x+1875=0\]
Find the value of $C_1,C_2 \, and C_3$ analytically.
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Re: BdMO Junior 2009/9
If need solution please post the diagram.
Re: BdMO Junior 2009/9
there was no diagram in question
A man is not finished when he's defeated, he's finished when he quits.
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Re: BdMO Junior 2009/9
Please create a diagram according to the question then i give u the solution
Re: BdMO Junior 2009/9
i am extremely sorry. I use mobile. Thus i cant make a pix :'(
A man is not finished when he's defeated, he's finished when he quits.
- FahimFerdous
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Re: BdMO Junior 2009/9
Use 'cosine rule' and similarity of triangles.
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Re: BdMO Junior 2009/9
i try this problem for two years! Still cant solute it! I will try...... NowFahimFerdous wrote:Use 'cosine rule' and similarity of triangles.
A man is not finished when he's defeated, he's finished when he quits.
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Re: BdMO Junior 2009/9
Solved here.Hasib wrote: ↑Sat Feb 05, 2011 10:03 pmOne angle of a triangle is twise of another angle of the same triangle. An angle of this triangle is 120 degree. The bisector of the second largest triangle intersects its opposite side at point $D$. The distance of $D$ from the vertex containing the largest angle is $10\, cm$. If the length of the largest side of this triangle is $2x$, then a relation like the following is true:
\[x^4-C_3x^3-C_2x^2-C_1x+1875=0\]
Find the value of $C_1,C_2 \, and C_3$ analytically.