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

A ladder of 37 m long is placed against a wall to reach a window 35 m high. Find the distance of the foot of the ladder from wall.
A. 10 m
B. 12 m
C. 8 m
D. 9 m

Question 2

Find the perimeter of rectangle whose breadth is 40 cm and diagonal is 41 cm.
A. 120 cm
B. 80 cm
C. 65 cm
D. 98 cm

Question 3

In triangle PQR, line QR is extended till point T. The measure of angle PRT will be equal to sum of _____ and _____.
A. QPR and PRQ
B. QPR and PQR
C. PQR and PRQ
D. Cannot Say

Question 4

A man starts walking towards north 4 km and then turns towards west for another 3 km. How far is he from his original position?
A. 6 km
B. 5 km
C. 7 km
D. 10 km

Question 5

The acute angles of a right angled traingle are in ratio 2 :3 . Find each angle.
A. 36° and 54°
B. 30° and 60°
C. 32° and 58°
D. 41° and 49°