All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
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
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information