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Page 1 TRIANGLES AND ITS PROPERTIES TRIANGLES AND ITS PROPERTIES Page 2 TRIANGLES AND ITS PROPERTIES TRIANGLES AND ITS PROPERTIES The line segment AD, joining the mid-point of BC to its opposite vertex A is called a Median of the triangle MEDIANS OF A TRIANGLE Page 3 TRIANGLES AND ITS PROPERTIES TRIANGLES AND ITS PROPERTIES The line segment AD, joining the mid-point of BC to its opposite vertex A is called a Median of the triangle MEDIANS OF A TRIANGLE Line segment AL is an altitude of the triangle. An altitude has one end point at a vertex of the triangle and the other on the line containing the opposite side. Through each vertex, an altitude can be drawn ALTITUDES OF A TRIANGLE Page 4 TRIANGLES AND ITS PROPERTIES TRIANGLES AND ITS PROPERTIES The line segment AD, joining the mid-point of BC to its opposite vertex A is called a Median of the triangle MEDIANS OF A TRIANGLE Line segment AL is an altitude of the triangle. An altitude has one end point at a vertex of the triangle and the other on the line containing the opposite side. Through each vertex, an altitude can be drawn ALTITUDES OF A TRIANGLE EXTERIOR ANGLE PROPERTY An exterior angle of a triangle is equal to the sum of its interior opposite angles. ?A + ?B = ?ACD Page 5 TRIANGLES AND ITS PROPERTIES TRIANGLES AND ITS PROPERTIES The line segment AD, joining the mid-point of BC to its opposite vertex A is called a Median of the triangle MEDIANS OF A TRIANGLE Line segment AL is an altitude of the triangle. An altitude has one end point at a vertex of the triangle and the other on the line containing the opposite side. Through each vertex, an altitude can be drawn ALTITUDES OF A TRIANGLE EXTERIOR ANGLE PROPERTY An exterior angle of a triangle is equal to the sum of its interior opposite angles. ?A + ?B = ?ACD The total measure of the three angles of a triangle is 180° ANGLE SUM PROPERTY ?A + ?B + ?C = 180°Read More
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FAQs on PPT: The Triangles and its properties - Mathematics (Maths) Class 7
| 1. What are the three main types of triangles based on their angles? |  |
Ans. The three main types of triangles based on their angles are acute-angled triangles (all angles are less than 90 degrees), right-angled triangles (one angle is exactly 90 degrees), and obtuse-angled triangles (one angle is greater than 90 degrees).
| 2. How do you calculate the area of a triangle? | |
Ans. The area of a triangle can be calculated using the formula: Area = 1/2 * base * height. Simply multiply the base of the triangle by the height of the triangle, and then divide the result by 2.
| 3. What is the Pythagorean theorem and how is it related to triangles? | |
Ans. The Pythagorean theorem states that in a right-angled 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 commonly used to solve problems involving right-angled triangles.
| 4. Can a triangle have sides of different lengths? | |
Ans. Yes, a triangle can have sides of different lengths. In fact, triangles are classified based on their sides as well, with scalene triangles having three different side lengths, isosceles triangles having two equal side lengths, and equilateral triangles having three equal side lengths.
| 5. How can you determine if a set of three side lengths can form a triangle? | |
Ans. To determine if a set of three side lengths can form a triangle, use the triangle inequality theorem which states that 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 met for all three pairs of sides, then the three side lengths can form a triangle.
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