Question

value: 2
which line segment is a leg of triangle dec?
c
d
n
e
p
m

Explanation:

Step1: Recall triangle leg definition

In a right triangle, legs are the two sides forming the right angle.

Step2: Analyze triangle DEC

Triangle DEC has a right angle at D (marked with a right - angle symbol). The sides forming the right angle at D are \( \overline{DE} \) and \( \overline{DC} \), and also, considering the vertices, another leg can be \( \overline{DE} \) or \( \overline{DC} \), but from the diagram, \( \overline{DE} \) (or \( \overline{DC} \), but looking at the options - related to the diagram, \( \overline{DE} \) or \( \overline{DC} \), and in the triangle DEC, the legs are the sides adjacent to the right angle. So, \( \overline{DE} \) (or \( \overline{DC} \), but from the diagram, \( \overline{DE} \) is a leg as it is one of the sides forming the right angle at D. Also, \( \overline{DC} \) is also a leg, but in the given triangle DEC, the right angle is at D, so the legs are \( \overline{DE} \) and \( \overline{DC} \). But from the diagram, the line segment \( \overline{DE} \) (or \( \overline{DC} \), but more precisely, in triangle DEC, the legs are the two sides that are not the hypotenuse. The hypotenuse is \( \overline{CE} \), so the legs are \( \overline{DE} \) and \( \overline{DC} \). Looking at the diagram, \( \overline{DE} \) is a leg (or \( \overline{DC} \), but in the first triangle, the right angle is at D, so sides \( DE \) and \( DC \) are legs. So, for example, \( \overline{DE} \) is a leg.

Answer:

\( \overline{DE} \) (or \( \overline{DC} \), but based on the diagram, the leg of triangle DEC is \( \overline{DE} \) (or \( \overline{DC} \); if we consider the options - related to the diagram, the leg is \( \overline{DE} \) (or \( \overline{DC} \))