Classifying Triangles

One right angle

The other two angles will be acute

 $\Delta ABC\ is\ a\ right\ triangle$  

 $One\ Angle\ is\ greater\ than\ 90\degree$  

 $The\ other\ two\ angles\ will\$   $be\ acute\ angles$  

Triangle has no congruent sides

The measure of the sides are not equal (definition of congruent segments)

 $AB\ne BC\ne AC$  

At least two sides of triangle are congruent.

 $GK\cong HK$  since,  $GK=4.19=HK$  

 Has three congruent sides

 $DE\cong EF\cong DF$  since  $DE=EF=DF$  

Each angle in an equilateral triangle are congruent and are  $60\degree$ 

One angle is greater than  $90\degree.$   $m\angle K=114\degree$ so triangle is obtuse

Two sides of triangle are congruent, so triangle is isosceles. 

Triangle is classified as Obtuse - Isosceles.