Question

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.)

Answer 1

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

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

Let a = 30, b = 40, then

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

The third number should be 50