Question

which segment is the hypotenuse? answer (overline{sl}) (overline{el}) (overline{se})

Explanation:

Step1: Recall the definition of hypotenuse

In a right - triangle, the hypotenuse is the side opposite the right angle and is the longest side.

Step2: Identify the right - triangle and its sides

In triangle \(LES\), \(\angle E = 90^{\circ}\). The sides of the triangle are \(\overline{SE}\), \(\overline{EL}\), and \(\overline{SL}\).

Step3: Determine the hypotenuse

Since the hypotenuse is opposite the right angle, and in \(\triangle LES\) with right angle at \(E\), the side opposite \(\angle E\) is \(\overline{SL}\).

Answer:

\(\overline{SL}\)