Garden Geometry 1587: Uncover the Elegance of Triangle BGH in a Captivating Challenge

Tracing Parallels in the Trapezoid: Where Lines Meet and Shapes Blossom in a Poetic Journey Through Geometric Harmony.

Problem 1587 Statement

The area of trapezoid ABCD is 36 square units. Base BC is 2, and on base AD, point E divides it such that AE is 4 and ED is 3. On the extension of AD, point F is such that DF is 3. Segment BF intersects CD at G, and lines AG and BE intersect at H. Find the area of triangle BGH.

Garden Geometry problem 1587: Diagram of trapezoid ABCD with points E, F, G, and H illustrating the given problem

Trapezoid's embrace,
Lines intersect, areas shift,
Wisdom will unfold.

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Flyer of problem 1587 Designed with iPad Apps

Flyer of Geometry problem 1587 Diagram of equilateral triangles ABC, CDE, and ADF illustrating the area relationship between ADF and AGDH

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Cevian, Transversal Lines
Menelaus' Theorem
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