Question

in \\( \triangle cde, m\angle c = 88 ^ { \circ } \\) and \\( m\angle d = 44 ^ { \circ } \\). which list has the sides of \\( \triangle cde \\) in order from shortest to longest? answer de, cd, ec ec, de, cd ec, cd, de de, ec, cd cd, de, ec cd, ec, de

Explanation:

Step1: Find the measure of angle \( E \)

The sum of angles in a triangle is \( 180^{\circ} \). So, \( m\angle E=180^{\circ}-m\angle C - m\angle D\).
Substitute \( m\angle C = 88^{\circ}\) and \( m\angle D = 44^{\circ}\):
\(m\angle E=180^{\circ}-88^{\circ}-44^{\circ}=48^{\circ}\).

Step2: Relate angles and sides

In a triangle, the side opposite the smaller angle is shorter.
We have \(m\angle D = 44^{\circ}The side opposite \(\angle D\) is \(EC\), the side opposite \(\angle E\) is \(CD\), and the side opposite \(\angle C\) is \(DE\).

Answer:

EC, CD, DE