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Generate Pythagorean Triples using an identity
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Generate Pythagorean Triples using an identity
In this lesson you will learn to generate a Pythagorean Triple by using the identity (x^2 - y^2)^2 + (2xy)^2 = (x^2 + y^2)^2.
ADDITIONAL MATERIALS
STANDARDS
CCSS.HSA-APR.C.4 Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (𝘹² + 𝘺²)² = (𝘹² – 𝘺²)² + (2𝘹𝘺)² can be used to generate Pythagorean triples.
FL.MAFS.912.A-APR.3.4 Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (𝘹² + 𝘺²)² = (𝘹² – 𝘺²)² + (2𝘹𝘺)² can be used to generate Pythagorean triples.
In this lesson you will learn to generate a Pythagorean Triple by using the identity (x^2 - y^2)^2 + (2xy)^2 = (x^2 + y^2)^2.
ADDITIONAL MATERIALS
STANDARDS
CCSS.HSA-APR.C.4 Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (𝘹² + 𝘺²)² = (𝘹² – 𝘺²)² + (2𝘹𝘺)² can be used to generate Pythagorean triples.
FL.MAFS.912.A-APR.3.4 Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (𝘹² + 𝘺²)² = (𝘹² – 𝘺²)² + (2𝘹𝘺)² can be used to generate Pythagorean triples.
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