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.
Subject: leg
Transcript: TO FIND THE LENGTH OF THE LINE SEGMENT CONNECTING THEM. WE CAN DO THAT IF WE DRAW A RIGHT TRIANGLE WITH THE LINE SEGMENT AS THE HYPOTENUSE. NE LEG OF
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.
Subject: leg
Transcript: TRIANGLE, THE VERTICAL LINE IS A LEG IN A RIGHT TRIANGLE? BUT THIS WON'T WORK, WE CAN'T FIND THE LENGTH OF THE OTHER LEG, OR OF THE HYPOTENUSE. SO LET'S TRY
Pythagorean Theorem, The
The Pythagorean Theorem is a formula that describes the relationship between the three sides of a right triangle: a2 b2 = c2.
Subject: leg
Transcript: BETWEEN THE LENGTHS OF THE LEGS AND THE LENGTH OF THE HYPOTENUSE. THE FORMULA IS A SQUARED PLUS B SQUARED EQUALS C SQUARED. IN THE FORMULA, A AND B ARE
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.
Subject: leg
Transcript: THE PROBLEM WE'LL LET THE FLAT DIAGONAL SIDE BE A. WE ALREADY FOUND THAT ITS LENGTH IS 26 INCHES. THE OTHER LEG, B, IS THE DEPTH OF THE SUITCASE, 9
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...
Subject: leg
Transcript: PERPENDICULAR. THAT MEANS THAT THIS IS A RIGHT TRIANGLE. THE DIAGONAL LINE IS THE HYPOTENUSE. NOW LET'S FIND THE LENGTH OF THE DIAGONAL. SINCE THE LEGS ARE 3 AND
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.
Subject: leg
Transcript: . THIS LEG IS EQUAL TO 2 RADII. IT'S 3 FEET. THE HYPOTENUSE IS 4 RADII, IT'S 6 FEET. NOW WRITE AN EQUATION. 3 SQUARED PLUS B SQUARED EQUALS 6 SQUARED. 3
Practical Problem: Where to Place the Braces
The Pythagorean Theorem is used to calculate where the braces should be placed to hang a store's sign so that the bottom falls six inches above the door.
Subject: leg
Transcript: CHAIN FORM A RIGHT TRIANGLE. THE CHAIN IS THE HYPOTENUSE. THE TOP OF THE SIGN IS ONE OF THE LEGS. FINDING THE LENGTH OF THE OTHER LEG WILL HELP US FIND
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
Subject: leg
Transcript: , WE KNOW THE LEGS ARE 5 INCHES AND 12 INCHES. TO FIND THE LENGTH OF THE HYPOTENUSE, WE CAN USE THE PYTHAGOREAN THEOREM. WE'LL SUBSTITUTE 5 FOR A AND 12
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.
Subject: leg
Transcript: HYPOTENUSE, SO WE CAN FIND THE DIAMETER BY USING THE PYTHAGOREAN THEOREM. EACH LEG OF THE TRIANGLE IS 1 AND 1/2 FEET LONG. 1.5 SQUARED PLUS 1.5 SQUARED EQUALS
Verifying Right Triangles with the Pythagorean Theorem Practice Problem
The Pythagorean Theorem is used to verify that a triangle is a right triangle, which is important because it is not always possible to determine visually.
Subject: leg
Transcript: OTHER SIDES WILL BE THE LEGS A AND B. WE'LL FIND OUT IF THIS IS A RIGHT TRIANGLE BY USING THE PYTHAGOREAN THEOREM. SUBSTITUTE 9, 16, AND 18 IN THE FORMULA