## RD Sharma Class 8 Solutions Chapter 17 - Understanding Shapes Special III Types Quadrilaterals (Ex 17.2) Exercise 17.2 - Free PDF

## 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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