1. **State the problem:** Classify the given triangle by its sides and angles. 2. **Analyze the triangle:** The triangle has a right angle (indicated by the right-angle marker) and two sides marked as equal (indicated by the matching tick marks). 3. **Classify by angles:** Since there is a right angle, the triangle is a **right triangle**. 4. **Classify by sides:** Two sides are equal, so the triangle is **isosceles**. 5. **Conclusion:** The triangle is **right and isosceles**. **Final answer:** The triangle is right and isosceles.