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For the pair of numbers, find a third whole number such that the three numbers form a Pythagorean triple.30, 40The third number of the Pythagorean triple is(Type a whole number.)

Respuesta :

If a, b, and c are the 3 sides of a right triangle and c is the longest side, then

[tex]c=\sqrt[]{a^2+b^2}[/tex]

Let a = 30, b = 40, then

[tex]\begin{gathered} c=\sqrt[]{(30)^2+(40)^2} \\ c=\sqrt[]{900+1600} \\ c=\sqrt[]{2500} \\ c=50 \end{gathered}[/tex]

The third number should be 50

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