https://r2.erweima.ai/mathbot/image/1725923780227w920bu24.jpg

https://r2.erweima.ai/mathbot/image/1725923780227gbwc1eru.jpg

The question in the image is asking to identify the types of triangles based on the measures of their sides and angles.

Let’s break down the different triangles and match them with the correct options:

### Triangles:
1. **Triangle a** (Blue): 
   - It has one right angle (90°), so it is a right triangle.
   - Two sides are marked as equal, indicating it's **isosceles**.
   - Hence, it’s an **isosceles-right triangle**.

2. **Triangle b** (Pink):
   - All three sides are marked as equal.
   - It has three acute angles, which makes it **equilateral-acutángulo** (all angles are less than 90°).
   
3. **Triangle c** (Yellow):
   - No sides are equal, and it has one obtuse angle (greater than 90°).
   - Therefore, it is **scalene-obtuse** (escaleno-obtusángulo).

### Answer Key:
1. For **A** (matching letters to triangle labels):
   - a: Isósceles-rectángulo
   - b: Equilátero-acutángulo
   - c: Escaleno-obtusángulo

2. The other options B, C, D are providing the same set of labels, but for this question, the correct match will be **D**.

Would you like further explanation on any of the triangles or the reasoning behind the classification?

### Follow-up Questions:
1. What is the difference between a scalene triangle and an isosceles triangle?
2. Can a triangle have more than one obtuse angle?
3. How do you determine the type of a triangle based on side lengths alone?
4. What are the properties of an equilateral triangle?
5. How do right triangles differ from acute and obtuse triangles?

### Tip:
When analyzing triangles, remember that the sum of the interior angles always equals 180°, which can help in identifying specific angle types!

Según la medida de sus lados y ángulos, ¿cuál es el nombre de cada uno de los siguientes triángulos?

This problem asks to identify triangles based on their side lengths and angle measurements. The task covers triangle classification into isosceles, scalene, and equilateral, as well as identifying acute, right, and obtuse angles. Suitable for Grades 6-8 students.

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