Finding Distance on a Graph Using the Pythagorean Theorem and the Distance Formula
The Pythagorean Theorem can be used to solve a distance problem on the coordinate plane. The same problem is also solved using the distance formula.
Practical Problem: Height of a Stack of Pipes
The Pythagorean Theorem can be used to solve problems involving rectangles and circle. A practical problem involves finding the height of a stack of pipes.
Pythagorean Theorem, The
The Pythagorean Theorem is a formula that describes the relationship between the three sides of a right triangle: a2 b2 = c2.
Practical Problem: Length of the Longest Object
The Pythagorean Theorem is used to calculate the length of the longest item that will fit into a suitcase.
Practical Problem: How Much Time is Saved
A practical problem is demonstrated using the Pythagorean Theorem to determine the amount of time a jogger can save by using the shortest distance between the starting and ending points of the course run. The problem can also be solved using the rat...
Practical Problem: Can the Truck Fit Under the Underpass?
The Pythagorean Theorem can be used to solve problems involving the radius of a pipe. A practical problem involves finding the height of a truck that is carrying a stack of pipes.
Finding the Length of the Third Side of a Right Triangle
The Pythagorean Theorem can also be used to determine the length of the hypotenuse given the length of the legs, or the length of a leg given the length of the hypotenuse and the other leg. The formula is demonstrated for both purposes.
Practical Problem: Diameter of a Log
The Pythagorean Theorem can be used to find the diameter of a circle. A practical problem involves finding the smallest log that can be cut to yield a square beam of a given size.
Introduction to Right Triangles
A right triangle is a triangle that has one right, or 90 degree, angle in it. A right triangle has two perpendicular sides called legs, and a side opposite the right angle called the hypotenuse.
Common Dimensions of Right Triangles
There some common right triangles in which all three sides are integers, such as a triangle with sides measuring 3, 4, and 5. Any triangle with sides that are multiples of these integers, called a similar triangle, you can be sure is a right triangl...