The Triangle and its Properties

IMPORTANT

Mathematics Solutions from Chapter -1 - The Triangle and its Properties

This chapter describes the triangle and its different properties. Classification of the triangles and different congruence are explained clearly with the aid of well-illustrated examples.

Practice Other Topics from The Triangle and its Properties

This topic defines triangles and their classification on the basis of its sides, such as scalene, isosceles and equilateral triangles. Angle-based classification of the same, such as acute, obtuse and right-angle triangles is also mentioned here.

This topic discusses the medians of a triangle. The median of a triangle is the line that connects the midpoint of a side and opposite vertex of the same side. A triangle has three medians.

This topic explains the concept of the altitude of a triangle and the method by which we find it. The topic is well illustrated for better understanding using solved examples.

Mathematics>Geometry>The Triangle and its Properties>Exterior angle of a triangle and its property

This topic describes the exterior angle of a triangle and its property. An exterior angle of a triangle is equal to the sum of its interior opposite angles. This concept is explained with the help of an activity.

Mathematics>Geometry>The Triangle and its Properties>Angle sum property of a triangle

This topic discusses the angle sum property of a triangle. The total measure of the three angles of a triangle is 180 degrees. We can prove this property with the help of the exterior angle property of a triangle.

Mathematics>Geometry>The Triangle and its Properties>Equilateral and isosceles triangle

This topic explains the characteristics of equilaterals and isosceles triangles. We will learn how the angles and sides differ in sizes when it comes to both the triangles.

Mathematics>Geometry>The Triangle and its Properties>Sum of the lengths of two sides of a triangle

This topic helps us to find the sum of the lengths of two sides of a triangle. We can prove that the difference between the lengths of any two sides of a triangle is smaller than the length of the third side. This concept is explained with examples.

Mathematics>Geometry>The Triangle and its Properties>Right angled triangles and Pythagoras property

This topic talks about the Pythagoras theorem used in right angled triangles, named after the famous Greek philosopher, Pythagoras. It further discusses the names given to each side of a right-angled triangle and also the steps to measure it.