Page 15
Pythagorean Theorem
Images
IXL & Practice Problems
R.1 Pythagorean theorem: find the length of the hypotenuse
R.2 Pythagorean theorem: find the missing leg length
R.3 Pythagorean theorem: find the perimeter
R.4 Pythagorean theorem: word problems
R.5 Converse of the Pythagorean theorem: is it a right triangle?
R.2 Pythagorean theorem: find the missing leg length
R.3 Pythagorean theorem: find the perimeter
R.4 Pythagorean theorem: word problems
R.5 Converse of the Pythagorean theorem: is it a right triangle?
pythagorean_examples_answers.pdf |
Click HERE to check out Math Warehouse's practice problems. The first few show step-by-step examples, then they provide some examples where you can check yourself to see if you got the correct answer.
Click HERE for challenge problems. (This requires you to know how to use FOIL.)
Click HERE to access Online Math Learning. You can keep entering in answers until you achieve 100%.
Click HERE for challenge problems. (This requires you to know how to use FOIL.)
Click HERE to access Online Math Learning. You can keep entering in answers until you achieve 100%.
Videos
|
|
|
|
|
|
Pythagorean Triples
Pythagorean Triples are a shortcut to help you recognize right triangles and their side lengths without going through the whole Pythagorean Theorem.
So, 3/4/5 is a Pythagorean Triple because if a triangles has side lengths 3, 4, and 5, we can prove that 3squared + 4squared does in fact equal 5squared. This also helps us because, if we know that a right triangle has a side length of 3 and a hypotenuse length of 5, we IMMEDIATELY know that the other side length is 4.
We can also double the 3/4/5 triple to end up with 6/8/10 which is another triple. You can double that and have 12/16/20 which is another triple. Any of the "fundamental" triples can be multiplied by any number to create another triple.
Common Fundamental Triples
3 / 4 / 5
5 / 12 / 13
8 / 15 / 17
See if you can make the connection between Pythagorean Triples and the WWTBAM question from the video below.
So, 3/4/5 is a Pythagorean Triple because if a triangles has side lengths 3, 4, and 5, we can prove that 3squared + 4squared does in fact equal 5squared. This also helps us because, if we know that a right triangle has a side length of 3 and a hypotenuse length of 5, we IMMEDIATELY know that the other side length is 4.
We can also double the 3/4/5 triple to end up with 6/8/10 which is another triple. You can double that and have 12/16/20 which is another triple. Any of the "fundamental" triples can be multiplied by any number to create another triple.
Common Fundamental Triples
3 / 4 / 5
5 / 12 / 13
8 / 15 / 17
See if you can make the connection between Pythagorean Triples and the WWTBAM question from the video below.
DISTANCE OF A LINE
Click HERE to check out LearnZillion's video on finding Distance of a Line.