G Triangle Theorems
 The sum of the angles for any triangle is 180 degrees.If we know two angles, we can total and subtract from180 to get the missing angle.  Find the missing anglemeasurement.23oo39o  180  - 62  118   39+ 23   62    The sum of the angles for any triangle is 180 degrees.If we know two angles, we can total and subtract from180 to get the missing angle.  Find the missing anglemeasurement.o63o77o   The sum of the angles for any triangle is 180 degrees.If we know two angles, we can total and subtract from180 to get the missing angle.  Find the missing anglemeasurement.o5090oo   The longest side of a triangle is always directly acrossfrom the largest angle.  The shortest side of the triangleis always directly across from the smallest angle.   The medium side is directly across from the medium angle.   Name the longest side.23oz118oyx39o side x side y side z   The longest side of a triangle is always directly acrossfrom the largest angle.  The shortest side of the triangleis always directly across from the smallest angle.   The medium side is directly across from the medium angle.   Name the longest side.53ozx60oy67o side x side y side z   The longest side of a triangle is always directly acrossfrom the largest angle.  The shortest side of the triangleis always directly across from the smallest angle.   The medium side is directly across from the medium angle.   Name the longest side.53ozx60oy67o side x side y side z   The longest side of a triangle is always directly acrossfrom the largest angle.  The shortest side of the triangleis always directly across from the smallest angle.   The medium side is directly across from the medium angle.   Name the longest side.53ozx42o85yo side x side y side z   The longest side of a triangle is always directly acrossfrom the largest angle.  The shortest side of the triangleis always directly across from the smallest angle.   The medium side is directly across from the medium angle.   Name the longest side.42ozx8553yoo side x side y side z If three in a row angle, side, angle  OR side, angle, side,a unique triangle is created.  If the three sides are known, a unique triangle is created.  If the three angles are known, then multiple, similar triangles are created. Will knowing two sides of a triangle be a unique ormultiple possibilities type triangle? multiple possibilitiesunique (only one triangle can be made) Will knowing two angles of a triangle be a unique ormultiple possibilities type triangle? multiple similarunique Will knowing three sides of a triangle be a unique ormultiple possibilities type triangle? multiple possibilitiesunique Will knowing two sides of a triangle and the connecting angle be a unique or multiple possibilities type triangle? uniquemultiple possibilities Will knowing two sides of a triangle and an angle but not the location of the angle be a unique or multiple possibilities type triangle? uniquemultiple possibilities Will knowing two angles of a triangle and the connecting side be a unique or multiple possibilities type triangle? uniquemultiple possibilities Will knowing two angles of a triangle and a side but not the location of the side be a unique or multiple possibilities type triangle? uniquemultiple possibilities             Theorem:  A measure of an exterior angle of a triangleis equal to the sum of the measures of the two non-adjacent interior angles. Exterior Angles of Triangles(77 + 90)o13o7790oo   o10351oo   o92o65o   o89o74o   16o92oo   15o88oo
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