Pythagorean Excursion
Sections
1. Trouble With Triples
2. Similar Triples
3. Half a Square?
4. The Root of the Problem II.
5. Thirty Sixty Ninety
6. Root Defender
Sections
1. Trouble With Triples
2. Similar Triples
3. Half a Square?
4. The Root of the Problem II.
5. Thirty Sixty Ninety
6. Root Defender
1. Trouble With Triples
Instructions A right triagle with sides that are all positive integers is known as a Pythagorean Triple. Goals Change the lengths of the triangle's sides to find four such triples.
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2. Similar Triples
Instructions A right triagle with sides that are all positive integers is known as a Pythagorean Triple. Similar Triangles are triangles that are the same shape, but different sizes. Goals Change the lengths of the triangle's sides to find three triples that are simlar to the 3-4-5 Triangle.
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3. Half a Square?
Instructions Some common right triangles are regarded as special, and have easy to remember ratios. Similar Triangles are triangles that are the same shape, but different sizes. Goals Change the lengths of the triangle's sides to find three triangles that have a √2 in the hypotenuse.
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4. The Root of the Problem II.
Instructions Some common right triangles are regarded as special, and have easy to remember ratios. Similar Triangles are triangles that are the same shape, but different sizes. Goals Change the lengths of the triangle's sides to find three triangles that have a √5 in the hypotenuse.
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5. Thirty Sixty Ninety
Instructions The 30-60-90 Triangle is half of an equilateral triangle. In this example you can change the length of the base and the length of the hypotenuse. Goals Change the lengths of the triangle's sides to find three triangles that have angles measuring 30°, 60° and 90°.
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6. Root Defender
Instructions Big Square Asteroids are falling to earth! Only you, with your knowledge of the Pythagorean theorem can save the Earth by launching squares of equal Area. Set the lengths of the legs of a right triangle. The square you create is the Square of the hypotenuse. Click the square to Launch. The more efficient you are, the longer you'll last! Goals Destroy 4 Asteroids, but see how long you can keep going.
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7. Lesson Done
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