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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°
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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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