Learn Class 7 Math - The Triangle and its Properties

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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.

Learning Videos for 7th Grade Math - The Triangle and its Properties

The Triangle and its Properties Sample Questions for Class 7

Question 1

A group of naturalists wants to track a herd of bison during their grazing patterns across a grassland. They've tagged 40 bison at random. If 20% of the tagged bison have been tracked to a lake and the other 80% of the bison have been tracked to a distant canyon, which of the following statements is the most logical conclusion about the location of the entire herd?
A. All of the bison are at the lake
B. All of the bison are at the canyon
C. 20% are at the lake and 80% are at the canyon
D. The bison haven't moved at all

Question 2

The ratio of apples to oranges in a store is 8 apples for every 40 oranges. What is the ratio of apples to oranges in simplest form?
A. 8 to 40
B. 4:20
C. 2:10
D. 1:5

Question 3

Using the diagram shown, ang1 and ang4 are supplementary angles. If ang4 = 70deg, What is the measure of ang1?
A. 180deg
B. 20deg
C. 110deg
D. 130deg

Question 4

A new pair of sneakers cost $45.89. You buy them in a state where the sales tax is 8%. How much do you pay for your new shoes?
A. $49.50
B. $49.56
C. $490.50
D. $49.57

Question 5

How many ways can you arrange the letters in the word TIGER?
A. 5 x 4 x 3 x 2 x 1 = 180
B. 5 x 4 x 3 = 120
C. 5 x 4 x 3 x 2 x 1 = 120
D. 5

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