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How can you use angle bisectors of triangles in real life situations to solve problems?

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2 Answers

I would guess that bisecting angles and other geometrical constructs are used by architects when they are drafting the designs of buildings. 
 
However, more and more of the constructs are being done by machines. Even sewing is not as much done by hand these days as it has been automated with the design process done by computers.   However, the programmers who write the programs for the computers which do drafting and sewing design need to know how to bisect angles.   Someone always needs to know these things.
 
Will you ever have a job where you need to know this?  The probability is that you will not.
Hi Craig;
The best real life example I can provide is that the practice of quilting involves bisecting angles.  If you look at any quilt, you will likely see triangles.
 
The second best example I can provide involves sewing with plaid or striped material.  Sometimes the sewer wants to cut-on-a-bias.  This involves a diagonal cut of the fabric.  If you look at one of the photographs of me, you will see me wearing a plaid suit I made for myself.  It is NOT bias-cut because I did not have enough fabric.  The lines of the plaid are vertical and horizontal.
 
When making a skirt, sometimes the components are triangular-shaped, without the peak of the triangle.   For design purposes, I may want to bisect a component and make each resulting component of a different fabric, particularly if I am working with remnants and each remnant is too small for one original component.  I may also want to make each resulting component a different orientation of the same fabric.  For example, if I am working with stripes, perhaps the lines of one with be positive and the lines of the other with be negative-inverse, also known as perpendicular.
 
For other real life examples, I suggest you ask a carpenter.