In this lecture you will cover the very important Pythagorean Theorem. After an introduction on right triangles with definitions of vertex, hypotenuse, and legs, you will see the theorem in its graphical form as well as numerical examples. You will then learn about Pythagorean Triples or Triplets as well as the converse of the theorem.
triangle is a triangle which has a right angle. The side opposite
the right angle, called the hypotenuse, is the longest side
of the triangle. The two sides forming the right angle are called
the legs of the triangle.
Theorem states that if a right triangle has legs of lengths a and b,
and hypotenuse of length c, then a2 + b2 = c2.
This result can be
used to find the length of any side of a right triangle if the other
two sides are known.
Some triples (a,
b, c) of whole numbers, such as (3, 4, 5), satisfy the Pythagorean
Theorem. Such triples are called Pythagorean triples. Note
that any multiple of a Pythagorean triple is also a Pythagorean
The converse of
the Pythagorean Theorem, which is also true, states that if the
sides a, b, and c of a triangle satisfy the equation a2 +
b2 = c2, then the triangle is a right
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.