Archive for the ‘Triangles’ Category

Triangle problem – finding height with given area and angles.

January 4, 2013 Leave a comment

If the area of triangle ABC is {\cal S} and angles \angle A= \alpha and \angle B= \beta then find a altitude of triangle which drawn from C to AB.

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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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Triangle problem

October 4, 2011 1 comment
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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 .

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