Question

Which of the following sets of numbers could represent the three sides of a righttriangle?Submit AnswerO {9, 12, 14}O {48, 55,73}O {11, 59, 61}{8, 40, 41}

Answer 1

{48, 55,73}

Step-by-step explanation:

To determine if any three side lengths can form a right triangle, we check if it satisfies the Pythagorean Theorem.

`\begin{gathered} c^2=a^2+b^2 \\ c\text{ is the longest side, the hypotenuse} \end{gathered}`
`\begin{gathered} 14^2=9^2+12^2 \\ 196\\eq225 \end{gathered}`
`\begin{gathered} 73^2=48^2+55^3 \\ 5329=5329 \end{gathered}`

Therefore, the side lengths that could form a right triangle are {48, 55,73}.