Triangles, properties, speciial points and their position

Njabs

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Mar 18, 2014
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My homework reads thus, you are required to construct an isosceles triangle. Let a (Small Greek letter Alpha) be the top angle. Let b (Small Greek letter Beta) be an exterior angle on the base. Let line segment a be the base (i.e. the side opposite a (Small Greek letter Alpha). The angle a (Small Greek letter Alpha) is an acute angle, and the angle b (Small Greek letter Beta) is an obtuse angle. I am sorry I am unable to paste or attach the question to show exactly geometric figures as represented in the question. From the line segment a, I drew a circle, unfortunately the figure I obtained is an equilateral triangle. Kindly assist, how do I solve this problem. Thanx!
 
Thanks Denis!

Well, you are technically correct, because an equilateral triangle
is a "special" form of an isosceles triangle...tell that to your teacher!:rolleyes:

Also, an equilateral triangle has all angles = 60 degrees; you knew that?

Anyway, it's probably safe to assume your teacher wants the bottom side
to be not equal to the 2 other sides.

Hard to explain how to do this without a blackboard.
Why don't you have a look at this:
http://www.wikihow.com/Construct-an-Isosceles-Triangle

I think it should be enough to show you how.

You can get other similar sites by googling "how to construct isosceles triangles".

Thank you Denis, you are very kind!
 
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