• Converse of the Pythagorean Theorem - Problem 2

Math›Geometry›Pythagorean Theorem
How to use the Pythagorean Theorem to determine if a triangle is acute, right, or obtuse, given the lengths of the triangle.
• Factoring: Special Cases Part I - Problem 2

Math›Algebra›Factoring
How to find the side length of a square if given its area.
• 45-45-90 Triangles - Concept

Math›Geometry›Pythagorean Theorem
How to find the length of a leg or hypotenuse in a 45-45-90 triangle using the Pythagorean Theorem.
• Converse of the Pythagorean Theorem - Problem 2

Math›Trigonometry›Pythagorean Theorem
How to use the Pythagorean Theorem to determine if a triangle is acute, right, or obtuse, given the lengths of the triangle.
• 45-45-90 Triangles - Problem 2

Math›Trigonometry›Pythagorean Theorem
How to find the length of a leg in a 45-45-90 given the hypotenuse.
• Algebraic Representation of Vectors - Problem 1

Math›Precalculus›Vectors and Parametric Equations
How to express a vector from point Q to point R algebraically in component form <a,b>.
• Algebraic Representation of Vectors - Concept

Math›Precalculus›Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
• 45-45-90 Triangles - Problem 2

Math›Geometry›Pythagorean Theorem
How to find the length of a leg in a 45-45-90 given the hypotenuse.
• 30-60-90 Triangles - Problem 4

Math›Geometry›Pythagorean Theorem
How to find the area of an equilateral triangle given only a side length.
• 45-45-90 Triangles - Concept

Math›Trigonometry›Pythagorean Theorem
How to find the length of a leg or hypotenuse in a 45-45-90 triangle using the Pythagorean Theorem.
• The Midpoint and Distance Formulas in 3D - Problem 2

Math›Precalculus›Vectors and Parametric Equations
How to find the equation of a sphere with center (a,b,c) and radius r.
• Vector Operations in 3D - Concept

Math›Precalculus›Vectors and Parametric Equations
How to perform vector operations like addition, scalar multiplication, the dot product, and finding the magnitude, in three dimensions.
• The Angle Between Planes - Problem 2

Math›Precalculus›Vectors and Parametric Equations
How to find the angle between two planes.
• 45-45-90 Triangles - Problem 1

Math›Geometry›Pythagorean Theorem
How to find the hypotenuse in a 45-45-90 triangle given a leg with a length that contains a square root.
• Factoring Trinomials, a is not 1 - Problem 11

Math›Algebra›Factoring
A geometric interpretation of factoring trinoimals that uses a length times width equals area rectangular model. A "diamond puzzle" is used to find the rectangle's sub-areas.
• 45-45-90 Triangles - Problem 1

Math›Trigonometry›Pythagorean Theorem
How to find the hypotenuse in a 45-45-90 triangle given a leg with a length that contains a square root.
• Using the Pythagorean Theorem to find a Missing Hypotenuse - Problem 1

Math›Geometry›Pythagorean Theorem
How to calculate the hypotenuse in a right triangle given the lengths of the legs using the Pythagorean Theorem.
• 45-45-90 Triangles - Problem 3

Math›Trigonometry›Pythagorean Theorem
How to find the perimeter of a square given the length of its diagonal using 45-45-90 triangles.
• 45-45-90 Triangles - Problem 4

Math›Trigonometry›Pythagorean Theorem
How to calculate the area of a 45-45-90 triangle given only the length of the hypotenuse.
• Using the Pythagorean Theorem to find a Missing Leg - Problem 1

Math›Trigonometry›Pythagorean Theorem
How to use the Pythagorean Theorem to find a missing leg, given the length of the hypotenuse and a leg.