RS AggarwalSolutions for Class 7 Maths Chapter 15 Properties of Triangles
RS Aggarwal Solutions for Class 7, Chapter 15 are provided in geometry as "Properties of the Triangle". A triangle is a polygon that consists of three sides, three edges, three vertices and the sum of internal angles of a triangle equal to 180°. In the beginning, we start from understanding the shape of triangles, its types and properties, theorems based on it such as Pythagoras theorem, etc. The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°.
The sum of the length of two sides of a triangle is greater than the length of the third side.
In the same way, the difference between the two sides of a triangle is less than the length of the third side.
The side opposite the greater angle is the longest side of all the three sides of a triangle.
The exterior angle of a triangle is always equal to the sum of the interior opposite angles. This property of a triangle is called an exterior angle property.
Two triangles are said to be similar if their corresponding angles of both triangles are congruent, and lengths of their sides are proportional.
Area of a triangle = ½ × Base × Height
The perimeter of a triangle = sum of all its three sides.