Question

Classify the following triangle as acute, obtuse, or right

Answer 1

Obtuse triangle

Explanation:

Obtuse angle:When the angle is greater than 90 degrees and less than 180 degrees then, the angle is called obtuse angle.

Acute angle: When the angle is less than 90 degrees then the angle is called acute angle.

Right angle: When the angle is equal to 90 degrees then, the angle is called right angle

Obtuse triangle: When one angle of triangle is obtuse then, the triangle is called obtuse triangle.

Acute triangle: When all angles of triangle are acute then, the triangle is called acute triangle.

Right triangle: When one angle of triangle is right angle then, the angle is called right triangle.

We are given measurements of angles of a triangle are

`30^(\circ),24^(\circ),126^(\circ)`

126 degrees is greater than 90 and less than 180 degrees , therefore it is an obtuse angle.

Therefore, given triangle is an obtuse triangle because one angle of given triangle is obtuse .

Hence, given triangle is an obtuse triangle.

Answer 2

Answer: Choice A) Obtuse

The angle 126 degrees is larger than 90 degrees. Any time you have a triangle with one angle larger than 90 degrees, you'll always have an obtuse triangle. This is by definition of what "obtuse triangle" means.