RD Sharma Class 8 Solutions Chapter 17 - Understanding Shapes Special III Types Quadrilaterals (Ex 17.2) Exercise 17.2 - Free PDF
Free PDF download of RD Sharma Class 8 Solutions Chapter 17 - Understanding Shapes Special III Types Quadrilaterals Exercise 17.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 17 - Understanding Shapes Special III Types Quadrilaterals Ex 17.2 Questions with Solutions for RD Sharma Class 8 Maths to help you to revise the complete Syllabus and Score More marks.
RD Sharma Class 8 Solutions Free PDF for Download
This chapter is all about the rhombus and the different properties of a rhombus. Any polygon with four sides is a quadrilateral. They are again divided based on their properties. Rhombus is also one such quadrilateral. Following are the properties of a rhombus:
It is a type of parallelogram that has its diagonals bisect at 90 degrees.
It is generally in a diamond shape.
No inscribing circle within the rhombus is possible.
A new rhombus can be formed when the midpoints of half of the diagonal
Two diagonals of the rhombus form eight right-angled triangles that are congruent to each other
No circumscribing circle is possible around the rhombus
This chapter is solved with the simplest methods to save time in the exam. Students can refer to their notes or textbooks for comprehensive understanding. Students can download the free PDFs from Vedantu and read them offline or study them online on their devices. This chapter has 3 exercises with more than 50 questions. Students are recommended to solve all the questions for better understanding and results. While solving the problems related to figures, one has to make clear and legible diagrams to avoid mistakes.
FAQs on RD Sharma Class 8 Solutions Chapter 17 - Understanding Shapes Special III Types Quadrilaterals (Ex 17.2) Exercise 17.2
1. What are a rhombus and a quadrilateral according to RD Sharma Class 8 Solutions Chapter 17?
Any figure with four sides is called a quadrilateral. A rhombus is a special type of parallelogram where the diagonals bisect each other. All sides of a rhombus are equal and opposite sides are parallel to each other. The Sum of any two adjacent angles is 180 degrees. The opposite angles of a rhombus are equal. These properties are used to find different values of a rhombus. A rhombus can be a square but a rhombus with two acute and obtuse angles form a diamond. RD Sharma Class 8 Solutions Chapter 17 mentions various properties of a rhombus in detail. Read the entire chapter and solve the exercises for comprehensive understanding.
2. How to find the missing side of a rhombus when you know the diagonals?
In a rhombus, the lengths of the diagonal are not only perpendicular to each other but also bisect each other at 90 degrees. First, one has to find the lengths of the diagonals and then use that in the Pythagorean theorem to deduce the length of a side of the rhombus. Find out the length of the half diagonal from the given formula and then use it in the Pythagoras theorem. For a detailed explanation about such problems, please read the above-given PDF. It has solutions for the RD Sharma Class 8 Chapter 17 which discusses properties of different types of quadrilateral.
3. What are the differences and similarities between a square and a rhombus according to RD Sharma Class 8 Solutions Chapter 17?
Any figure with four sides is called a quadrilateral. There are many types of quadrilaterals based on their properties. Rhombus and square are two such quadrilaterals. Following are their differences and similarities:
All the four sides of a rhombus and squares are equal
But all the angles of a rhombus and squares are not equal
Opposite angles of a rhombus are equal while all the angles of a square are equal.
Diagonals of both square and rhombus bisect each other at 90 degrees
These properties are used to solve different problems and find out missing
sides and angles of a figure.
4. What are the benefits of studying RD Sharma Class 8 Solutions Chapter 17?
RD Sharma Class 8 Solutions Chapter 17 is all about different quadrilaterals and their properties. It discusses what is a quadrilateral, what are different types of quadrilaterals, what are their properties, how they are similar to each other and different from each other. After reading this chapter and solving the given exercises, students can understand how to find out a missing side of a quadrilateral when all the other sides and angles are given, they can also learn how to find out a missing angle if all the other angles are given. Students also learn how to construct a given quadrilateral with proper process and keep its properties intact. In real life this chapter is used in construction, making figures, designing quadrilaterals like kites, beds, etc.
5. What are the different formulas related to the area of a rhombus that is mentioned in RD Sharma Class 8 Solutions Chapter 17?
RD Sharma Class 8 Solutions Chapter 17 mentions different types of quadrilaterals. Rhombus is one such quadrilateral. Following are some of the formulae related to the rhombus. They are used to find the missing values of a rhombus.
Formula to find out the area of rhombus :
Using diagonals: A = ½ × d1 × d2
Using base and height: A = b × h
Using trigonometry: A = b2 × Sin(a)
Here, d1 is the length of diagonal 1, d2 is the length of diagonal, A is the area of a rhombus, b is equal to base and h represents the height of the rhombus and a represents the interior of an angle in rhombus.
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