NCERT Solutions for Class 8 Mathematics Chapter 3: Understanding Quadrilaterals

NCERT Solutions for class 8 Mathematics Chapter 3 Understanding Quadrilaterals are provided in the article below. Some of the important topics in the Understanding Quadrilaterals chapter include:

  1. Area of Rectangle
  2. Area of Square
  3. Exterior Angles of Polygon
  4. Properties of Hexagon
  5. Types of Polygon
  6. Rhombus
  7. Diagonal formula

Download PDF: NCERT Solutions for Class 8 Mathematics Chapter 3 pdf


NCERT Solutions for Class 8 Mathematics Chapter 3

NCERT Solutions for Class 8 Mathematics Chapter 3 Understanding Quadrilaterals is given below.

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NCERT Solutions for Class 8 Mathematics

Quadrilateral is any figure that has 4 sides and whose interior angles are 360 degrees. Quadrilaterals are divided into several categories such as:

  • Square: A square is a quadrilateral, or a special type of parallelogram, with all of its sides equal.
  • Rectangle: A rectangle is a quadrilateral with parallel and equal opposite sides.
  • Parallelogram: A quadrilateral with opposite parallel sides is known as a parallelogram (and therefore opposite angles equal).
  • Rhombus: A quadrilateral with four equal-length sides is known as a rhombus. Because of its characteristic of equality of length, it is also known as an equilateral quadrilateral.
  • Trapezoid: A trapezium is a quadrilateral having at least one pair of parallel sides that is convex in shape.

Area of Square = a2

Area of Rectabgle = Length x Breadth

Area of Parallelogram = Base x height

Area of Rhombus = ½ x diagonal 1 x diagonal 2

Area of Trapezium = ½ x (a + b) x h


NCERT Solutions for Class 8 Maths Chapter 3 Exercises

NCERT Solutions for Class 8 Maths Chapter 3 Exercises are given below.

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CBSE X Related Questions

  • 1.

    Find the mean and mode of the following data:

    Class15--2020--2525--3030--3535--4040--45
    Frequency1210151175


      • 2.
        OAB is sector of a circle with centre O and radius 7 cm. If length of arc \( \widehat{AB} = \frac{22}{3} \) cm, then \( \angle AOB \) is equal to

          • \( \left(\frac{120}{7}\right)^\circ \)
          • \( 45^\circ \)
          • \( 60^\circ \)
          • \( 30^\circ \)

        • 3.
          A box contains 120 discs, which are numbered from 1 to 120. If one disc is drawn at random from the box, find the probability that
          (i) it bears a 2-digit number
          (ii) the number is a perfect square.


            • 4.
              A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

                • $60^\circ$
                   

                • $45^\circ$
                • $30^\circ$
                • $90^\circ$

              • 5.

                In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If $\angle OPQ = 15^\circ$ and $\angle PTQ = \theta$, then find the value of $\sin 2\theta$.


                  • 6.

                    In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

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