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NSW Y8 Maths Pythagoras Testing for Pythagorean Triads

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Testing for Pythagorean Triads Theory

\begin{multicols}{2} \textbf{Example 1}\\ Test \((17,144,145)\) to determine if it is a \\Pythagorean Triad.\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 17^2+144^2&=21025 \\ 145^2&=21025 \end{aligned}\)\\ \(\therefore 17^2+144^2=145^2 \)\\ \(\therefore(17,144,145) \text { is a Pythagorean Triad. }\) \columnbreak \textbf{Example 2}\\ Test \((11,110,111)\) to determine if it is a \\Pythagorean Triad.\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 11^2+110^2&=12221 \\ 111^2&=12321 \end{aligned}\)\\ \(\therefore 11^2+110^2\neq 111^2 \)\\ \(\therefore(11,110,111) \text { is not a Pythagorean Triad. }\) \end{multicols}

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Videos relating to Testing for Pythagorean Triads.

  • Testing for Pythagorean Triads - Video - Testing for Pythagorean Triads - Example 1

  • Testing for Pythagorean Triads - Video - Testing for Pythagorean Triads - Example 2

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