Draw the following:
A rhombus whose diagonals are 5.2 cm and 6.4 cm long.
Answer
383.4k+ views
Hint – we use the property of Diagonals of rhombus which bisect perpendicular to each other.
We can draw a rhombus whose diagonals are 5.2 cm and 6.4 cm long by following the given procedure.
1. Draw a line segment AC = 5.2 cm.
2. Draw XY, the perpendicular bisector of AC.
3. From XY, cut-off OD = $\dfrac{1}{2}(6.4)$ = 3.2 cm.
4. Similarly, cut-off OB = $\dfrac{1}{2}(6.4)$= 3.2 cm.
5. Join AD, DCCB and BA.
Thus, ABCD is the required rhombus.
Note - In this type of problem, let any cyclic quadrilateral and apply the property of the circle with its circumferences & some geometric properties and we get a rhombus whose diagonals are 5.2 cm and 6.4 cm long.
We can draw a rhombus whose diagonals are 5.2 cm and 6.4 cm long by following the given procedure.
1. Draw a line segment AC = 5.2 cm.
2. Draw XY, the perpendicular bisector of AC.
3. From XY, cut-off OD = $\dfrac{1}{2}(6.4)$ = 3.2 cm.
4. Similarly, cut-off OB = $\dfrac{1}{2}(6.4)$= 3.2 cm.
5. Join AD, DCCB and BA.
Thus, ABCD is the required rhombus.

Note - In this type of problem, let any cyclic quadrilateral and apply the property of the circle with its circumferences & some geometric properties and we get a rhombus whose diagonals are 5.2 cm and 6.4 cm long.
Recently Updated Pages
Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts
Which place is known as the tea garden of India class 8 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE

How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE

Explain zero factorial class 11 maths CBSE

Identify the plural form of the word sheep from the class 8 english CBSE

Summary of the poem Where the Mind is Without Fear class 8 english CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE
