The Triangle Sum Theorem states that the sum of all the angles in a triangle have to add up to 180°
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Example
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When each angle is added, they equal 180°
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Better Explanation
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The reason this is an example (previous page), is because this triangle's angles add up to 180°, like the theorem states.
Possible Triangles
-Equilateral Acute
-Isosceles Right
-Scalene Obtuse
-Isosceles Acute
-Scalene Acute
-Isosceles Obtuse
-Scalene Right
Examples Of All Triangles
Equilateral (A)
Scalene (O)
Isosceles (R)
Isosceles (A)
Scalene (A)
Isosceles (O)
Key (O) = Obtuse (A) = Acute (R) = Right
Scalene (R)
CHAPTER 2
THE INEQUALITY THEOREM
Definition
The Triangle Inequality Theorem states that both the smaller sides of a triangle have to add up to equal or be greater than the largest side
Examples
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In these examples, the side lengths are: 5, 5, 7 and 4, 7, 8 with 7 being the longest in example 1 and 8 being the longest in example 2. The 2 smaller sides (5 and 5 / 4 and 7) both add up to 10 (example 1) and 11 (example 2), which, is greater than the longest sides in each of these triangles.