Question

Is the following triangle classified as an acute isosceles triangle?
outer triangle
2.4
2.4
4.4
inner triangle
134 degrees
23 degrees
23 degrees


Question 4 options:
True
False

Answer 1

To classify the triangle based on the information provided:

1. **Outer Triangle:** You have sides measuring 2.4, 2.4, and 4.4 units. Since two sides (2.4 and 2.4) are equal, this is an isosceles triangle.

2. **Inner Triangle:** The angles are 134 degrees, 23 degrees, and another 23 degrees. An isosceles triangle has two equal angles, and it's noted here.

Now, to check if the inner triangle is acute:
- An acute triangle has all angles less than 90 degrees. However, the inner triangle has one angle of 134 degrees, which is an obtuse angle (greater than 90 degrees).

Since the inner triangle has an obtuse angle, it cannot be classified as an acute triangle.

Conclusion:
- The outer triangle is an isosceles triangle.
- The inner triangle is not an acute triangle.

So, the answer to the question of whether it is classified as an acute isosceles triangle is **False**.