Online Geometry Problems

Geometry Problem 3 with Solution: Triangle, Angles, 45 degrees, Auxiliary Lines. Level: High School, College, Math Education

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The figure below shows a triangle ABC with the median BD such that angle A = 3(angle C), and angle ADB = 45 degrees. Prove that angle C = 22.5 degrees. Try to use elementary geometry (Euclid's Elements.)
 

Triangle, Median, 45 Degrees. Elearning
 

Geometry Problem 3

A triangle posed,
Median splits, angles disclosed,
A to C is three,
ADB at forty-five to see,
Prove C, twenty-two and a half, proposed.

 

See solution below

See also: Art 01

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Last updated: Sep 19, 2014


Geometry Problem 3 Solution(s)