G Triangle Theorems

The sum of the angles for any triangle is 180 degrees. If we know two angles, we can total and subtract from 180 to get the missing angle. Find the missing angle measurement. 23 o o 39 o 180 - 62 118 39 + 23 62The sum of the angles for any triangle is 180 degrees. If we know two angles, we can total and subtract from 180 to get the missing angle. Find the missing angle measurement. o 63 o 77 o The sum of the angles for any triangle is 180 degrees. If we know two angles, we can total and subtract from 180 to get the missing angle. Find the missing angle measurement. o 50 90 o o The longest side of a triangle is always directly across from the largest angle. The shortest side of the triangle is always directly across from the smallest angle. The medium side is directly across from the medium angle. Name the longest side. 23 o z 118 o y x 39 o side x side y side z The longest side of a triangle is always directly across from the largest angle. The shortest side of the triangle is always directly across from the smallest angle. The medium side is directly across from the medium angle. Name the longest side. 53 o z x 60 o y 67 o side x side y side z The longest side of a triangle is always directly across from the largest angle. The shortest side of the triangle is always directly across from the smallest angle. The medium side is directly across from the medium angle. Name the longest side. 53 o z x 60 o y 67 o side x side y side z The longest side of a triangle is always directly across from the largest angle. The shortest side of the triangle is always directly across from the smallest angle. The medium side is directly across from the medium angle. Name the longest side. 53 o z x 42 o 85 y o side x side y side z The longest side of a triangle is always directly across from the largest angle. The shortest side of the triangle is always directly across from the smallest angle. The medium side is directly across from the medium angle. Name the longest side. 42 o z x 85 53 y o o 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 or multiple possibilities type triangle?
multiple possibilities unique (only one triangle can be made) Will knowing two angles of a triangle be a unique or multiple possibilities type triangle?
multiple similar unique Will knowing three sides of a triangle be a unique or multiple possibilities type triangle?
multiple possibilities unique Will knowing two sides of a triangle and the connecting angle be a unique or multiple possibilities type triangle?
unique multiple 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?
unique multiple possibilities Will knowing two angles of a triangle and the connecting side be a unique or multiple possibilities type triangle?
unique multiple 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?
unique multiple possibilities Theorem: A measure of an exterior angle of a triangle is equal to the sum of the measures of the two non- adjacent interior angles. (77 + 90) o 13 o 77 90 o o o 103 51 o o o 92 o 65 o o 89 o 74 o 16 o 92 o o 15 o 88 o o |

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