Go Geometry Problems

Geometry Problem 1 with Solution: Triangle, Angles, Midpoint, Congruence, 45 Degrees, Auxiliary Construction. Level: High School, College, Math Education


In a triangle ABC, the median BD is such that the angles A and DBC are equal. If the measure of the angle ADB is 45 degrees, find the measure of angle A. Try to use elementary geometry (Euclid's Elements.)

Geometry Problem: Congruence


See solution below

See also:
Geometric Art 01
Stereographic projection of Machu Picchu
Kaleidoscope of Geometry Problem 1 based on Poincare Disk Model 

Poster and Typography of problem 1

Poster and Typography of problem 1

Geometric Art of problem 1

Geometric art of problem 1


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.

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

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Last updated: Aug 15, 2022

Geometry Problem 1 Solution(s)