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Archive for the ‘Triangles’ Category

Triangle problem – finding height with given area and angles.

January 4, 2013 Leave a comment
Categories: Triangles Tags: , , ,

Triangle problem – find an angle

December 16, 2011 Leave a comment
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Triangle – Area problem

October 31, 2011 Leave a comment

Triangle Problem

October 8, 2011 2 comments

Let triangle ABC be isosceles with AB = AC. The altitude from A is AE and cevian BF intersects AE at D. If AF : AC = 1 : 3 Then find AD : DE and BD : BF.

 

Just draw cevian CG that intersects AE at D, too . (G is on line AB) Connect F & G. Line FG is parallel to BC. Use similarity of triangles to solve the questions.

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Categories: Triangles Tags: , ,

Triangle problem

October 4, 2011 1 comment
Categories: Triangles Tags: , , ,

Triangle – Circle problem

September 30, 2011 4 comments

An Intriguing Geometry Problem – Triangle problem

September 28, 2011 2 comments

Let ABC be an isosceles triangle (AB=AC) with BAC = 20°. Point D is on side AC such that DBC = 60°. Point E is on side AB such that ECB = 50°. Find, with proof, the measure of EDB.

For more about this question go to Berkeley Math Circle. You can read history of this question and about solutions. Picture is taken from thinkzone.wlonk.com .

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