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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