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Measure that angle II (Posted on 2004-09-01) Difficulty: 2 of 5
Triangle ABC is isosceles with AB=BC. There is a point D on AC such that BD = DC and AB=AD.

What is the measure of angle BAC?

See The Solution Submitted by Brian Smith    
Rating: 2.6667 (3 votes)

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re(2): Solution + Explanation | Comment 5 of 18 |
(In reply to re: Solution + Explanation by Charlie)

<<Actually, where did AB = AD come from?  By symmetry, since BD = DC, it is BD = AD.  And since angle ABD equals angle a, and angle CBD = angle a, and they add up to angle ABC, b=2a. But b+2a = 180 degrees. So b = 90 degrees and a = 45 degrees.>>

AB = AD was given

How did you get BD = AD?  Triangles ABC and BDC are similar, not congruent, right?

I'm very confused.


  Posted by nikki on 2004-09-01 09:34:43
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