Question

Classify each triangle as acute, right or obtuse.

48.5, 39, 32.5

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

Answer 1

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**.