Discovering Triangle Symmetry: Tips for Solving Angle and Side Length Problems

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Homework Help Overview

The discussion revolves around a triangle problem involving triangle ABC, where AB equals AC, and point D is on AC such that AD equals DB and also equals BC. Participants are seeking hints to determine the angles within the triangle, particularly angle BAD.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants suggest drawing the triangle to scale and labeling angles to visualize relationships. There is mention of identifying similar triangles and recognizing properties of isosceles triangles to aid in finding angle measures.

Discussion Status

The discussion is ongoing, with participants exploring the relationships between the angles and sides of the triangles. Some have provided guidance on labeling angles and recognizing isosceles properties, but there is no explicit consensus on the next steps or solutions.

Contextual Notes

Participants express uncertainty about the placement of the thread and the adequacy of the information provided. There is a focus on deriving angle measures without direct solutions being offered.

Natasha1
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Sorry I am not sure if I should put this thread here.. looks like I am going to be told off by the boss :frown:

Anyway, here is my question in a triangle ABC, AB = AC and D is a point on AC such that AD = DB = BC. Find the size of the angle BAD? Find the angles of triangle ABC?

Just need a few hints to get this problem started please?
 
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You triangle, ABC, involves three related/interdepandent similar triangles.

Draw out the triangle(s). Try doing it to scale (i.e. try making the triangles look similar).
Label the angles. It should fall out pretty easily.
 
I have ADB being isoceles where AD=DB but from there how do you mesure angle A? I know that A and B will be the same in that triangle but how do u get a value?
 
There are three isosceles triangles. ABC and ADB are two of them. You have to find the third one before you can solve for the angles.
One property of isosceles triangles is that, not only are two sides of equal length, but the angles oppposite them are also equal.
Label all the (equal) angles and it will fall out.
 

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