Learn Class 10 Math - Triangles

The term triangle refers to a figure that consists of three vertices and three sides. Triangles are of various types. All the types of triangles are different from each other.

Types

  • Acute angle triangle
  • Right angle triangle
  • Obtuse angle triangle
  • Isosceles angle triangle
  • Equilateral triangle
  • Scalene triangle

The theorem of the Triangle

The triangle is of different types, and all the properties of the triangle are discussed below:

  • AAA ( Angle- Angle - Angle)

    If all two angles are equal in the triangle, then the whole sides of the triangle are equal. It shows that the two triangles are congruent to each other.

  • SAS (Side- Angle - Side)

    When the two sides of the triangle are equal, the angle between the triangles is also equal.

  • SSS (Side- Side - Side)

    If, in a triangle, all the sides are equal, then their corresponding angles are also equal. With the help of this theorem, the triangles will get congruent.

Pythagoras theorem

  • The Pythagoras theorem of a triangle includes the three things, i.e., Hypotenuse, Perpendicular, and Base.
  • The theorem will get implemented on the right angle triangle.

The formula for triangle:

The basic formula for a triangle is ½ . b. h. Pascal invented the triangles for the first time in 1653.

Learning Videos for 10th Grade Math - Triangles

Triangles Sample Questions for Class 10

Question 1

An apothem connects two sides of a regular polygon.
A. True
B. False

Question 2

In an experiment, there are two dependent events, A and B. If P(A) = 0.25 and P(A and B) = 0.15, what is the possible value of P(B)? Choose all correct answers.
A. 0.6
B. 0.0375
C. 0.67
D. 0.25

Question 3

Choose the correct missing reason from step 3.Given the parallel lines k and m, and transversal t, prove that ang 1 ~= ang 7. \ \ \ \ \ \ " Statement " \ \ \ \ \ \ " Reason "1. k " || " m1. "Given"2. ang 1 ~= ang 52. "Corresponding angles are congruent"3. ang5 ~= ang 7 3. 4. ang 1 ~= ang 7 4. "Substitution property of equality"
A. Vertical angles are congruent
B. Given
C. Same side interior angles are congruent
D. Supplementary angles are congruent

Question 4

What is the total amount of degrees when you sum the interior angles of a triangle?
A. 90
B. 360
C. 45
D. 180

Question 5

In a 45-45-90 triangle, the hypotenuse is the leg multiplied by .
A. 2
B. the square root of 2
C. the natural logarithm of 2