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# Standard #: MA.8.GR.1.3

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Use the Triangle Inequality Theorem to determine if a triangle can be formed from a given set of sides. Use the converse of the Pythagorean Theorem to determine if a right triangle can be formed from a given set of sides.

### General Information

Subject Area: Mathematics (B.E.S.T.)
Strand: Geometric Reasoning
Status: State Board Approved

#### Related Courses

 Course Number1111 Course Title222 1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current)) 1205070: M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 7812030: Access M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))

#### Related Access Points

 Access Point Number Access Point Title MA.8.GR.1.AP.3a Measure the sides of triangles to establish facts about the Triangle Inequality Theorem (i.e., the sum of two side lengths is greater than the third side). MA.8.GR.1.AP.3b Substitute the side lengths of a given figure into the Pythagorean Theorem to determine if a right triangle can be formed.

#### Formative Assessments

 Name Description Sides of Triangles Students are asked to determine if given lengths will determine a triangle. Drawing Triangles SSS Students are asked to draw a triangle with given side lengths, and explain if these conditions determine a unique triangle.

#### Original Student Tutorial

 Name Description Pythagorean Theorem: Part 1 Learn what the Pythagorean Theorem and its converse mean, and what Pythagorean Triples are in this interactive tutorial. This is part 1 in a 3-part series. Click below to explore the other tutorials in the series.

#### Tutorials

 Name Description Construct a Right Isosceles Triangle This video discusses constructing a right isosceles triangle with given constraints and deciding if the triangle is unique. Construct a Triangle with Given Side Lengths This video demonstrates drawing a triangle when the side lengths are given.

#### Original Student Tutorial

 Name Description Pythagorean Theorem: Part 1: Learn what the Pythagorean Theorem and its converse mean, and what Pythagorean Triples are in this interactive tutorial. This is part 1 in a 3-part series. Click below to explore the other tutorials in the series.

#### Tutorials

 Name Description Construct a Right Isosceles Triangle: This video discusses constructing a right isosceles triangle with given constraints and deciding if the triangle is unique. Construct a Triangle with Given Side Lengths: This video demonstrates drawing a triangle when the side lengths are given.

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