UpStudy Free Solution:

To classify the given triangle, let's examine its properties:

1. The triangle has side lengths of 5.1, 7, and 8.66.

2. The angles are 36°, 54°, and 90°.

- Scalene: The triangle has all sides of different lengths (5.1, 7, and 8.66), so it is scalene.

- Right: The triangle has a 90° angle, so it is a right triangle.

Given these observations, the correct classifications are:

- B. Scalene

- E. Right

Supplemental Knowledge

Triangles can be classified based on their side lengths and angles. Here are the classifications:

1. By Side Lengths:

- Equilateral Triangle: All three sides are equal.

- Isosceles Triangle: At least two sides are equal.

- Scalene Triangle: All three sides are different.

2. By Angles:

- Acute Triangle: All three angles are less than \(90^\circ\).

- Right Triangle: One angle is exactly \(90^\circ\).

- Obtuse Triangle: One angle is greater than \(90^\circ\).

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