A Pythagorean triple is a set of three integers a, b, and c where a2+b2=c2. An example of a Pythagorean triple is 3, 4, and 5 because 32+42=52. Find other Pythagorean triples.
The purpose of this discussion is to help students see patterns and similarity in right triangles. For example, one common Pythagorean triple is 3, 4, and 5, and by multiplying each value by a common factor, more triples like 6, 8, and 10 or 15, 20, and 25 can be made.
Ask students to share any Pythagorean triples they found and record and display these for all to see. Choose a few triples for the class to verify. Ask students if they notice any patterns between the triples. If not mentioned by students, draw their attention to any triples that are multiples of each other.
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A Pythagorean triple is a set of three integers a, b, and c where a2+b2=c2. An example of a Pythagorean triple is 3, 4, and 5 because 32+42=52. Find other Pythagorean triples.
The purpose of this discussion is to help students see patterns and similarity in right triangles. For example, one common Pythagorean triple is 3, 4, and 5, and by multiplying each value by a common factor, more triples like 6, 8, and 10 or 15, 20, and 25 can be made.
Ask students to share any Pythagorean triples they found and record and display these for all to see. Choose a few triples for the class to verify. Ask students if they notice any patterns between the triples. If not mentioned by students, draw their attention to any triples that are multiples of each other.