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  • John Rhodes
  • June 21, 2023
  • Geometry

Exploring the Unique Properties of Acute Triangles: A Foundational Skill in Geometry and Beyond

acute triangle a triangle where all three angles are < 90 degrees An acute triangle is a triangle where all three angles are acute angles, which means...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Understanding Obtuse Angles: Definition, Examples and Identification using Geometrical Tools

obtuse angle a triangle with one angle that is > 90 degrees An obtuse angle is an angle that measures greater than 90 degrees but less than...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Discovering the Basics of Right Triangles: Understanding the Hypotenuse, Legs, and Pythagorean Theorem

Regarding side length, a triangle is a right triangle if … a² + b² = c² A triangle is a right triangle if and only if one...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Exploring Acute Triangles: Properties, Definition, and Real-Life Applications

Regarding side length, a triangle is is an acute triangle if … a² + b² > c² A triangle is considered acute if all three of its...
Continue Reading
  • John Rhodes
  • June 21, 2023
  • Geometry

Understanding Obtuse Triangles: Definition, Properties, and Examples

Regarding side length, a triangle is an obtuse triangle if … a² + b² < c² A triangle is an obtuse triangle if one of its angles...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Understanding Side Ratio of a 45-45-90 Triangle in Mathematics

The side ratio of a 45-45-90 triangle is … 1 : 1 : √2 The side ratio of a 45-45-90 triangle is 1:1:√2. This means that the...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Unveiling the Mystery of 30-60-90 Triangles: Understanding the Set Ratio of Side Lengths

The side ration of a 30-60-90 triangle is … 1 : √3 : 2 The side ratio of a 30-60-90 triangle is a set ratio of the...
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  • John Rhodes
  • June 21, 2023
  • Geometry

The Significance of the 3-4-5 Triangle in Mathematics and Engineering: Using the Pythagorean Theorem to Easily Calculate Lengths of Sides

3-4-5 triangle a triangle in which the sides are 3, 4, and 5 units long. A 3-4-5 triangle is always a right triangle. A 3-4-5 triangle is...
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