Hi can anyone please give me some Important questions of ch 7 triangles?

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Question 1. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Show that angle A  > angle C and angle B > angle D. Question 2. Show that sum of 3 altitudes of a triangle is less than the sum of a 3 sides of a triangle. Question  3. Show that the sum of any two sides of a triangle is greater than twice the median drawn to third side.

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The important questions of ch-7 is mainly to solve the theorms and axioms.

Answer

Important Questions on Chapter 7: Triangles
- What are the different types of triangles based on sides?
- Equilateral Triangle: All three sides are equal in length.
- Isosceles Triangle: Two sides are equal in length.
- Scalene Triangle: All sides have different lengths.
- What are the different types of triangles based on angles?
- Acute Triangle: All angles are less than 90 degrees.
- Right Triangle: One angle is 90 degrees.
- Obtuse Triangle: One angle is greater than 90 degrees.
- What is the Triangle Inequality Theorem?
- The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If this condition is not met, a triangle cannot be formed.
- How can you determine 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.
- What is the Pythagorean Theorem?
- The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem is represented as a^2 + b^2 = c^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
These questions cover important concepts related to triangles, their properties, and formulas that are essential for understanding and solving problems in geometry.

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