https://file.aiquickdraw.com/mathbot/file/17297920103265g1f0vtb.jpg

Let's analyze the triangle based on the given angles and side lengths:

### Side lengths:
- \( CD = 4.6 \)
- \( BC = 5.49 \)
- \( BD = 7.85 \)

### Angles:
- \( \angle D = 43^\circ \)
- \( \angle C = 102^\circ \) (obtuse)
- \( \angle B = 35^\circ \)

### Classification of the triangle:
1. **Scalene**: The triangle is scalene because all three sides have different lengths.
2. **Obtuse**: One of the angles is greater than \( 90^\circ \) (i.e., \( \angle C = 102^\circ \)).

Thus, the triangle is a **Scalene Obtuse** triangle.

Would you like further details on how to classify triangles based on angles or side lengths?

Here are some related questions to consider:
1. How do we classify triangles based on angles?
2. How do we classify triangles based on side lengths?
3. Can a triangle have more than one obtuse angle?
4. What is the significance of the triangle inequality theorem?
5. How can the Pythagorean theorem help verify the type of triangle?

**Tip:** Always sum the angles of a triangle to ensure they add up to \(180^\circ\).

Determine the type of triangle that is drawn below, with the given angles and side lengths.

Learn how to classify a triangle based on its angles and side lengths. In this problem, we analyze a triangle with side lengths 4.6, 5.49, and 7.85, and angles 43°, 102°, and 35°. This example shows how to identify a scalene obtuse triangle.

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