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.
See solution below
See
also:
Triangles
Median
Congruence
Circle Geometric Art 01
Stereographic projection of Machu Picchu
Kaleidoscope of Geometry Problem 1 based on Poincare Disk Model
Poster and Typography 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.
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