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Yes indeed. You can get expressions of the lengths of sides if the 3 medians or bisectors are given. Solve them. Then you know the length of each side.

Is your question asking if three of the same type of cevian (e.g. 3 medians) form a triangle, i.e. be non-concurrent, or if three of any type of cevian? If the latter then yes. I'm not sure about the former yet.

I think he is trying to ask that if we draw an altitude from A , a median from B ,and an angle bisector of C.Then will they form a triangle.?Correct me if i am wrong.Obviously it will not form in equilateral triangle.

Well yes it would be possible in both cases. If we knew the lengths and the angles. even if it was equilateral. simple Sine and Cosine rules can be used to determine those lines that thus make the triangle.

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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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## Comments

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TopNewestYes, it can be drawn!!!

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I suppose you mean the altitude, median and bisector of just one angle? As opposed to one cevian from each angle.

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what is median

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A median of a triangle is a line segment joining a vertex to the midpoint of the opposing side.

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See this video.

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I'm kinda surprised that you know what is cevian and not median. ;O

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Yes indeed. You can get expressions of the lengths of sides if the 3 medians or bisectors are given. Solve them. Then you know the length of each side.

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i think in Equilateral triangle median is angle bisector and altitude

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yes, in equilateral triangle it is possible i think.As median itself makes angle bisector and also the altitude. Am i right?

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Is your question asking if three of the same type of cevian (e.g. 3 medians) form a triangle, i.e. be non-concurrent, or if three of any type of cevian? If the latter then yes. I'm not sure about the former yet.

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I think he is trying to ask that if we draw an altitude from A , a median from B ,and an angle bisector of C.Then will they form a triangle.?Correct me if i am wrong.Obviously it will not form in equilateral triangle.

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Well yes it would be possible in both cases. If we knew the lengths and the angles. even if it was equilateral. simple Sine and Cosine rules can be used to determine those lines that thus make the triangle.

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Simple Sin or Cosin rule can be used to determine those lengths.

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it can be drawn

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yes

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