Definitions | Types of Triangles and related definitons | Theorems and related definitions | Problems |
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Triangle
What figure is formed by three segments and three non collinear points?
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Isosceles triangle
What is the name for the triangle that at least has two congruent sides?
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Interior angles and exterior angles
What is another name for a triangle's inside angles? What is adjacent to the those angles of a triangle?
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x = 21
Find x using the corollary to the triangle sum theorem.
Interior angles: 90 degrees, 3x + 4, x + 2. |
Angles and sides
What are two things needed to classify a triangle?
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Equilateral triangle
What is the name for the triangle that has 3 congruent sides?
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The sum of the measures of the interior angles of a triangle is 180 degrees.
Explain the triangle sum theorem.
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x = 14
Find x using the exterior angle theorem.
Interior angles: 54, 47 Exterior angle: 6x + 17 |
Vertex or vertices
What are the three points that join at the sides of a triangle?
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Hypotenuse
What is the triangle's side called if its opposite from a side that has a right angle?
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One exterior angle of a triangle is equal to the other two nonadjacent interior angles.
Explain the exterior angle theorem.
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x = 2.285
Find x using the corollary to the triangle sum theorem.
Interior angles: 90, 14x + 36, 7x + 6. |
Adjacent sides
What are two sides called when they share a common vertex?
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Legs
What are the sides that form a right angle in a right triangle or are equal to each other in an isosceles triangle?
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A right triangle is given with its other two angles missing. The two missing angles must be added together and then set to equal the right angle to find the missing variables and values.
Explain the corollary triangle sum theorem.
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x = 15 2/3
Find x using the exterior angle theorem:
Interior angles: 50 + 2x, 7x + 51 Exterior angle: 15x + 15 - 8 |