Classify each triangle as acute, right or obtuse.

48.5, 39, 32.5

(1 point)
These side lengths form a(n)
triangle.

1 answer

To classify the triangle based on its angles, we can use the fact that the sum of angles in a triangle is always 180 degrees.

Given the angles:

  • Angle A = 48.5 degrees
  • Angle B = 39 degrees
  • Angle C = 32.5 degrees

Now, we can classify the triangle based on the angles:

  1. If all angles are less than 90 degrees, the triangle is acute.
  2. If one angle is exactly 90 degrees, the triangle is right.
  3. If one angle is greater than 90 degrees, the triangle is obtuse.

Calculating the sum of the angles: \[ 48.5 + 39 + 32.5 = 120 \text{ degrees (which is less than 180 degrees)} \]

Since all of the angles are less than 90 degrees, the triangle is classified as an acute triangle.

So, these side lengths form an acute triangle.