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Triangle: A triangle is a simple closed curve made of three line Byjus Class 4 Maths Question Paper Off segments. It has three vertices, three sides and three angles. Vertices: A, B, C. The side opposite to the vertex A is BC. Medians of a Triangle The line-segment joining a vertex of a triangle to the mid-point of its opposite side is called a median of the triangle. Since there are three vertices in a triangle, therefore, a triangle has three medians.
Altitudes of a Triangle A line segment drawn from a vertex of a triangle perpendicular to its opposite side is called an altitude height of the triangle corresponding to the opposite.
Since there are class 7 maths notes byjus paper vertices in a triangle, class 7 maths notes byjus paper, a triangle has three altitudes.
Exterior Class 7 maths notes byjus paper of a Triangle and its Property An exterior angle of a triangle is formed when a side of a triangle is produced. At each vertex, we have two ways of forming an exterior angle. The measure of an exterior angle class 7 maths notes byjus paper a triangle is equal to the sum of the measures of its two interior opposite angles. Two Special Triangles: Equilateral and Isosceles Equilateral Triangle: A triangle in which all three sides are of equal length is called an equilateral triangle.
Isosceles Triangle: A triangle in which two sides are of equal length is called an isosceles triangle.
In an isosceles triangle. Sum of the Lengths of Two Sides of a Triangle The sum of the lengths of any two sides of a triangle is greater than the third. Right-Angled Triangle and Pythagoras Property A triangle whose one angle is a right-angle is called a right-angled triangle. The side opposite to the right angle is called the hypotenuse, the other two sides are known as the legs of the right-angled triangle.
Conversely if the Pythagoras Property holds the triangle must be right-angled. A triangle having all sides equal is called an equilateral triangle. A triangle having two sides equal is called an isosceles triangle. A triangle having all sides of different lengths is called a scalene triangle. A median connects a vertex of a triangle to the mid-point of the opposite. AD is the median of triangle ABC.
An altitude has Byjus Maths Class 8 Notes For Pdf one endpoint at a vertex of the triangle and the other on the line containing the opposite. AD is the altitude of triangle ABC. An exterior angle of a triangle is equal to the sum of its interior opposite angles.
Classification of triangles based on sides A triangle having three unequal sides is called a scalene triangle. A triangle having two equal sides is called an isosceles triangle. A triangle having three equal sides is called an equilateral triangle. If anyone angle is a right triangle, then the triangle is called a right-angled triangle. The angles opposite to equal sides of an isosceles triangle are equal. A scalene triangle has no equal angles.
A triangle has 3 medians and 3 altitudes. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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