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4 courses
92 practices
6 hours
Understand why the Pythagorean Theorem works, then use it to find missing side lengths, solve real-world right-triangle problems, explore 2D and 3D applications, and calculate distances on the coordinate plane.
You'll get comfortable with the shapes and language behind the Pythagorean theorem. By the end, you'll spot right triangles instantly, name their sides correctly, and understand why a² + b² = c² is really a statement about areas of squares.
Now you'll put the theorem to work. You'll set up the equation from a diagram, solve for the hypotenuse or a missing leg, and learn to choose between exact square-root answers and rounded decimals depending on what the situation needs.
You'll see the Pythagorean theorem reappear as the engine behind coordinate distance. By the end, you'll measure the straight-line distance between any two points either by building a right triangle directly or by using the distance formula — the same idea written algebraically.
You'll bring the Pythagorean theorem into the physical world. You'll verify true right angles in layouts, solve everyday 2D distance problems, and extend the idea into three dimensions to find both face and space diagonals of rectangular boxes.
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