Question

Classify each triangle by its angles and sides.
outside of triangle
2.8
2
3.1
inside of triangle
78 degrees
62 degrees
40 degrees


Question 1 options:

equilateral


obtuse isosceles


acute obstuse


acute scalene

Answer 1

To classify the triangle by its angles and sides, we need to evaluate the angles and the side lengths provided.

1. **Angles**: The angles provided are 78 degrees, 62 degrees, and 40 degrees:
- **Sum of angles**: \(78 + 62 + 40 = 180\) degrees, which is valid for a triangle.
- All angles are less than 90 degrees, so this triangle is an **acute triangle**.

2. **Side lengths**: The side lengths given are 2.8, 2, and 3.1:
- Since all sides have different lengths, this triangle is a **scalene triangle** (no two sides are equal).

Based on the classifications:
- The triangle is an **acute scalene triangle**.

So, the correct answer is: **acute scalene**.