Wednesday, February 10, 2010

True or false geometry question?

Please notify the question number....


If you know the answer!


1.The angle bisector of a triangle could also be the perpendicular bisector?


2. The angle bisector of a triangle always intersect inside the triangle?


3. The perpendicular bisectors of a triangle always intersect inside the triangle?True or false geometry question?
1.true (when we will have an isosceles or equilateral triangle)





2.true.(as the point of intersection is the incentre which must lie inside the triangle as it is the centre of the circle inscribed in the triangle)


3.false(as the points of intersection is circum centre which may not lie inside the triangle as it is the centre of the circle circumscribing the triangle)True or false geometry question?
it is possible for a triangle to have 3 right angle. it's called a euclidean triangle, look it up





sorry this doesn't answer your question i just think it's a fun geometry fact.
Q1: Yes, when we have an isoceles triangle.





Q2: Yes.





Q3: No, it can go outside the triangle.





You may be interested to read this document I found:


http://euler.slu.edu/courseware/inf.geom鈥?/a>
1 %26amp; 2 are true
1. True, however only if sides of the angle your doing the bisector are equal.


2. True always


3- False in case you have one angle larger than 90 degrees and true if all angles are less than 90 degrees.
No, No, No





At least that's what I think. Because in order for a line to be perpendicular, doesn't it have to form a right angle. I don't think a triangle can have a perpendicular bisector because it would have to have 90 degrees on both sides because of the definition of bisect. Angle bisectors don't always bisect inside a triangle, sometimes they bisect on the outside.





Please correct me if I'm wrong :-)

No comments:

Post a Comment