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28) list the sides in order from greatest to least.

Question

  1. list the sides in order from greatest to least.

Explanation:

Step1: Find the third - angle

In a triangle, the sum of interior angles is 180°. Given one angle is 90° and another is 56°. Let the third angle be $\angle L$. Then $\angle L=180^{\circ}-90^{\circ} - 56^{\circ}=34^{\circ}$.

Step2: Apply the angle - side relationship

In a triangle, the side opposite the largest angle is the longest and the side opposite the smallest angle is the shortest. The angles from greatest to least are $\angle B = 90^{\circ}$, $\angle O=56^{\circ}$, $\angle L = 34^{\circ}$. The sides opposite these angles are $LO$, $LB$, $OB$ respectively.

Answer:

$LO,LB,OB$