NCERT Solutions Class 7 Maths Triangle and its properties
In the previous article for Class 7 Maths, we have discussed the Chapter 6 – Triangle and its properties. The topics covered were an introduction to the triangle, types of triangle, exterior angle of a triangle and its properties.
In this article, we will discuss the angle sum property from Class 7th Maths.
We already know that a plane figure surrounded by three line segments is called a triangle. It is donated by the symbol ∆.
Angle Sum Property
The total measure of the three angles of a triangle is 180°.
Given: -∠1,∠2,∠3 are angles of ∆ABC
∠4 is the exterior angle when BC is extended to D
Justification ∠1+∠2=∠4(by exterior angle property)
∠1+∠2+∠3=∠4+∠3 (adding ∠3 on both sides)
∠4 and ∠3 form a linear pair so it is 180°
Watch and learn more about angle sum property – Class 7 Maths.
Two Special Triangles: Equilateral and Isosceles
Equilateral Triangle: – Triangles in which all the three sides are equal are called an equilateral triangle.
Two Important points:-
- all sides have the same length
- each angle has measure 60°
Isosceles triangle: – Triangles in which two sides are of equal lengths is called an isosceles triangle.
Two Important points:-
- two sides have the same length
- base angles opposite to the equal sides are equal
For examples and practice questions click on Math Class 7.
Sum of the lengths of two sides of a triangle:-
- Sum of lengths of any two sides of a triangle is greater than the third side
Right-angled triangle and Pythagoras property
Pythagoras property is found by a Greek philosopher Pythagoras.
In a right-angled triangle, the sides have different names
The side opposite to the right angle is called hypotenuse, the other two sides are called legs of the right-angled triangle
It states that for any right-angled triangle, the area of the square on the hypotenuse equal to the sum of the areas of the square on the legs.
The square on the hypotenuse = sum of the squares on the legs
Maths NCERT solutions of Class 7 are available at Class 7 Maths.
You can read more topics of Maths NCERT Solutions Class 7
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