Question

identify triangles of a given type
question
determine the type of triangle that is drawn below.
answer
isosceles obtuse
equilateral
isosceles acute
scalene right
scalene acute
scalene obtuse
isosceles right

Explanation:

Step1: Check side lengths

All side lengths \(3.63\), \(4.33\), \(5.63\) are different. So it's a scalene triangle.

Step2: Check angles

All angles \(22^{\circ}\), \(44^{\circ}\), \(114^{\circ}\) (since \(180-(22 + 44)=114\)) are less than \(90^{\circ}\) is false. Wait no, \(114^{\circ}>90^{\circ}\). Wait no, wait the sum of angles in a triangle is \(180^{\circ}\). \(22 + 44+114 = 180\). Since \(114^{\circ}>90^{\circ}\), it's an obtuse triangle. But wait no, wait the options. Wait no, wait the side - angle. Wait another approach:
By side - side - side:
Since all sides are different, it's scalene.
By angle:
Since one angle (\(114^{\circ}\)) is obtuse (\(>90^{\circ}\)), it's obtuse.

Answer:

Scalene Obtuse