Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures.
right triangle
acute triangle
obtuse triangle
multiangular triangle
I thinks it's c
Yes
ok cool thanks yall
The triangle ABC with angles measuring 137°, 15°, and 28° is classified as an "obtuse triangle".
To classify the triangle by its angle measures, we need to compare the given angles to the definitions of different types of triangles.
In a right triangle, one of the angles measures exactly 90° (a right angle).
In an acute triangle, all three angles are less than 90°.
In an obtuse triangle, one of the angles measures more than 90°.
In a multiangular triangle (also known as an equiangular triangle), all three angles are equal and measure 60°.
Now, let's compare the given angles:
137° is greater than 90°, so it is not a right angle.
15° is less than 90°, but we need to check the third angle to classify the triangle further.
28° is less than 90° as well.
Since none of the given angles measures more than 90°, we can conclude that all three angles of triangle ABC are less than 90°. Therefore, triangle ABC is an acute triangle.
So, the correct classification for triangle ABC is an acute triangle.