Learn Class 7 Math - The Triangle and its Properties

Triangle is a three-figure term that is a closed figure.

It consists of three sides, angles, and vertices. We can see that triangles are of different types. All these types of triangles vary from one another.

Types of the triangle

  • Right angle triangle

    The triangle forms an angle of 90 degrees.

  • Isosceles angle triangle

    It is a type of triangle whose two sides are equal.

  • Equilateral triangle

    It is a triangle whose all the given sides are equal.

Properties of the triangle

  • Sum of Angle property

    The angle sum property of a triangle includes that the whole angle sum of the triangle is equal to 180 degrees.

  • Exterior angle property

    The exterior angle property of the triangle states that it is always equal to the opposite interior angle.

  • Pythagoras theorem

    This triangle property includes the three things, i.e., Hypotenuse, Perpendicular, and Base. And it is represented as H^2 = P^2 + B^2.

Properties of an equilateral triangle

  • The property of an equilateral triangle states that all sides are equal.
  • And each angle of the equilateral triangle is equal to 60°.

Properties of an isosceles triangle

  • This property states that the two sides of the triangle are always equal.
  • And one side always differs in size from the other sides.

The Triangle and its Properties Sample Questions for Class 7

Question 1

Find the perimeter of a square ABCD , if the square of its diagonal is 128.
A. 24 cm
B. 40 cm
C. 32 cm
D. 64 cm

Question 2

Find the perimeter of the rhombus whose diagonals are 12 cm and 16 cm.
A. 20 cm
B. 80 cm
C. 40 cm
D. 60 cm

Question 3

If in traingle ABC , angle C is 90°, then which of the following is correct statement?
A. AB² = AC² + BC²
B. AC ² = AB² + BC²
C. BC² = AB² + AC²
D. All of the above

Question 4

The angles of the triangles are in ratio 5 :2: 3. What type of triangle is formed?
A. Obtuse angle triangle
B. Equilateral triangle
C. Right angle triangle
D. Cannot Say

Question 5

The length of a rectangle is 12 cm and breadth is 5 cm. What is measure of its diagonal?
A. 9 cm
B. 13 cm
C. 15 cm
D. 17 cm