- **Important Questions from Chapter Triangle**

**1. What are the different types of triangles based on angles?**
- **Equilateral Triangle:** All three angles are equal to 60 degrees.
- **Isosceles Triangle:** Two angles are equal to each other.
- **Scalene Triangle:** All three angles are different from each other.

**2. How can you determine the type of triangle using side lengths?**
- **Equilateral Triangle:** All three sides are equal in length.
- **Isosceles Triangle:** Two sides are equal in length.
- **Scalene Triangle:** All three sides are different in length.

**3. What is the Pythagorean theorem and how is it used in triangles?**
- The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It is represented as a² + b² = c², where c is the hypotenuse.

**4. How do you find the area of a triangle?**
- The area of a triangle can be calculated using the formula: Area = 1/2 * base * height. The base is the length of the bottom side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex.

**5. What is the Triangle Inequality Theorem and why is it important?**
- The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. It is important because it helps determine if a given set of side lengths can form a valid triangle.