Geometry Problem 1: Unlock Your Geometry Skills for Solving Problem: Triangle Angles, Midpoints, and Congruence with 45 Degrees and Auxiliary Construction. Perfect for High School, College, and Math Education

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Given a triangle ABC, let BD be the median such that angles A and DBC are equal. If angle ADB measures 45 degrees, find the measure of angle A. Please use elementary geometry, such as Euclid's Elements.

Geometry Problem 1

In triangle ABC, seek the unknown angle A,
With BD median and equal angles to weigh,
ADB at 45 degrees, a clue on display,
Use Euclid's Elements to solve the geometry today.

Mind Map: George Pólya's 1945 book, "How to Solve It"

George Pólya's 1945 book "How to Solve It, A new aspect of Mathematical Method", is a book describing methods of problem solving. It suggests the following steps when solving a mathematical problem: (1) First, you have to understand the problem. (2) After understanding, then make a plan. (3) Carry out the plan. (4) Look back on your work. How could it be better?
A mind map is a diagram used to visually organize information, knowledge, concepts or ideas.

 Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery |  Art | 1-10 | Triangles | Median | Congruence | by Antonio Gutierrez View or Post a solution Last updated: Aug 15, 2022