Question

Determine whether the given numbers represent the lengths of sides of a right triangle.15,11,4Do the given numbers represent the lengths of the sides of a right triangle?No or Yes

Answer 1

No

Step-by-step explanation:

To determine if the lengths form the side of a right triangle, use the Pythagorean Theorem:

`\begin{gathered} c^2=a^2+b^2 \\ Where\; c\text{ is the hypotenuse, the longest side} \end{gathered}`

Substitute 15,11 and 4 into the formula:

`\begin{gathered} 15^2=225 \\ 11^2+4^2=121+16=137 \\ \text{Therefore:} \\ 15^2\\e11^2+4^2 \end{gathered}`

Since the Pythagorean Theorem does not hold, the side lengths(15,11,4) do not represent the lengths of the sides of a right triangle.