triangle theorems
pythagorean triples
a generalization of the pythagorean theorem which can classify not only right triangles but obtuse and acute triangles
obtuse triangle formula
a^2 + b^2 < c^2
right triangle formula
a^2 + b^2 = c^2
acute triangle formula
a^2 + b^2 > c^2
isosceles triangle theorem
if 2 sides are congruent then the angles opposite those sides are congruent
triangle midsegment theorem
if a segment joins the midpoint of 2 sides of a triangle then the segment is parallel to the 3rd side and half as long
pythagorean theorem
if a triangle is a right triangle then the sum of the squares of the length is equal to the square of the length of the hypotenuse
triangle inequality theorem
the sum of 2 smaller legs of a triangle is greater than the larger leg
what do all angles add up to in a triangle?
180º
remote interior angles
2 angles inside NOT touching the exterior angle