Purchase Solution

Pythagorean Theorem

Not what you're looking for?

Ask Custom Question

The Pythagorean Theorem can also be proved directly, by choosing 0 at the right angle of a right-angled triangle whose other two vertices are u and v.

Show that |v - u|^2 = |u|^2 + |v|^2 under these conditions, and explain why this is the Pythagorean theorem.

Purchase this Solution

Solution Summary

Pythagorean Theorem is clearly exemplified.

Solution Preview

The vectors u and v are perpendicular in this situation, so the dot product u.v = 0. Notice ...

Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts