Question

Is the following triangle classified as an acute scalene?
outer triangle
8
9
6
Inner triangle
41 degrees
79 degrees
60 degrees


Question 3 options:
True
False

Answer 1

To determine if the triangle is classified as acute and scalene, we need to analyze the provided information:

1. **Acute Triangle:** A triangle is classified as an acute triangle if all its angles are less than 90 degrees. In this case, the angles provided for the inner triangle are 41 degrees, 79 degrees, and 60 degrees. All of these angles are indeed less than 90 degrees, so the inner triangle is classified as acute.

2. **Scalene Triangle:** A triangle is classified as scalene if all its sides are of different lengths. In this scenario, we are only provided with the lengths of the sides of the outer triangle (8, 9, and 6), which are all different. However, the sides of the inner triangle do not relate to the scalene classification based on angles alone.

Thus, the inner triangle is acute, but we have not classified the outer triangle based solely on the angles; the classification of scalene is based on side lengths.

Since the inner triangle (based on the angles provided) is acute, and the outer triangle has all different lengths based on its sides:

- The inner triangle is acute.
- The outer triangle (different sides) is scalene.

Therefore, if the question refers to the **inner triangle,** the classification as **acute scalene** is **false** since it is not scalene (since we only use angles), and the question could only be true in terms of the inner triangle being acute but not scalene. If it refers to the outer triangle, it is scalar, but not acute.

However, the way you phrased the options suggests meaning to which one applies. Thus, the correct answer would depend on context, but if strictly looking at both classifications based on the information given, the answer can be summarized:

**False.**