To determine the type of triangle drawn in the image, let's analyze the given information about its angles and side lengths.

Given Information:

• Triangle $\triangle CDE$
• Angles:
  • $\angle C = 90^\circ$ (Right Angle)
  • $\angle D = 56^\circ$
  • $\angle E = 34^\circ$
• Sides:
  • $CD = 3.28$
  • $CE = 4.91$
  • $DE = 5.91$

Analysis:

Since $\angle C = 90^\circ$, this triangle is a right triangle by definition, as it has one angle equal to 90 degrees.

Conclusion:

The triangle $\triangle CDE$ is a right triangle.

Would you like further explanation on the properties of right triangles or additional details?

Related Questions:

1. What defines a right triangle in geometry?
2. How can the Pythagorean theorem be applied to verify the side lengths of a right triangle?
3. What are the different types of triangles based on angle measures?
4. Can a right triangle also be isosceles? If so, under what conditions?
5. How can you classify triangles based on side lengths?

Tip:

In a right triangle, the side opposite the right angle is called the hypotenuse and is always the longest side.