Base Angle Theorem
Revision as of 15:52, 31 August 2008 by 1=2 (talk | contribs) (New page: The ''Hinge theorem''' states that in an isosceles triangle, the measures of the angles opposite the equal-measuring sides are equal. ==Proof== Since the triangle only has three sides...)
The Hinge theorem' states that in an isosceles triangle, the measures of the angles opposite the equal-measuring sides are equal.
Proof
Since the triangle only has three sides, the two equal-measuring sides must be adjacent. Let them meet at vertex 
. Now we draw height 
to 
. From the Pythagorean Theorem, 
, and thus 
is similar to 
, and 
.
