Incircle Puzzle

Показать описание

A circle inscribed in a triangle is called an incircle.The 3 points of intersection of the incircle with the triangle separate each of the sides into two lengths. But rather than creating 6 different lengths, there are 3 pairs of equal lengths. The equal lengths are labeled a, b, and c. There are many ways to find these lengths, but this video shows a method essentially shown in a paper by Dick Stanley, Uri Treisman, and Harris Shultz called "Paired Weighings".

PREVIOUS LESSONS:
The Consecutive Number Puzzle...

A Counting Problem...

Bowling Pin Puzzles part 2...

Pigeonhole Puzzles part 4...

Probability Puzzles and Random Sequences...

Go to the Red Room and Peg Solitaire...

Expected Value and the Cracker Jacks Problem...

Go to the Red Room, an Abstract Algebra Activity...

Pigeonhole Puzzles part 3...

Universal Cycle: Bead Necklace part 2...

Finite Fields in Middle School Algebra, part 1...

Is The Pythagorean Theorem Obvious?

The Monkey and the Coconuts...

Universal Cycle: Bead Necklace part 1...

Pie, So-So, & Goose...

Calendar Calculations...

The Harmonic Mean part 3...

Quadratic Functions Mod 7...

Game of Nim...

Pigeonhole Puzzles part 2...

Pigeonhole Puzzles part 1...

Teach Adding and Subtracting...

Bowling Pin Puzzles part 1...

The Harmonic Mean part 2...

The Harmonic Mean part 1...

Completing The Square Backwards...

The Quadratic Formula and a Formula for All Pythagorean Triangles...

Mathematics for Social Justice by Marc Roth.