Answer
Verified
423.3k+ views
Hint: Name the rhombus and its diagonals. First draw the diagonal 8 cm. Bisect 8 cm and draw a perpendicular bisector PQ. Mark 3 cm on top and bottom of the perpendicular to get 3 cm. Join all sides and measure them.
Complete step-by-step answer:
We have to construct a rhombus when only the length of the diagonals of the rhombus is given.
Let us first name the rhombus as ABCD.
Let us consider BD as one diagonal which can be taken equal to 8 cm.
\[\therefore BD=8cm\].
Let us consider the other diagonal as AC with the length of 6 cm.
\[\therefore AC=6cm\].
Now, we are going to construct rhombus ABCD with diagonal lengths \[BD=8cm\]and \[AC=6cm.\]
First draw a line BD of 8 cm.
Take the bisector of BD of 8 cm. Draw the perpendicular bisector PQ of BD. Let’s take the center point of BD as ‘O’ where it is bisected.
Now mark OA = OC = 3 cm, i.e. it will be half of the diagonal of 6 cm.
Now we have to join all the sides to get the rhombus. We have drawn the two diagonals \[BD=8cm\]and \[AC=6cm.\]
Let’s join AB, AD, BC and CD.
Now if we measure side AB, we will get it as 5 cm.
Similarly, if we measure AD, BC and CD we will get it as 5cm.
To find the perpendicular bisector, take more than half of the length of side BD. Cut an arc above and below the line segment BC from point B and C. Then join the perpendicular bisector PQ.
Hence, we constructed the required figure of rhombus ABCD.
Note: You can also take base as 6 cm then bisect and draw perpendicular to 6 cm. Then mark 4 cm in top and bottom of the segment. Join them to get 8 cm. Then join all the sides AB, BC, CD and DA. Still you will get the same length as 5 cm for all sides of the rhombus.
Complete step-by-step answer:
We have to construct a rhombus when only the length of the diagonals of the rhombus is given.
Let us first name the rhombus as ABCD.
Let us consider BD as one diagonal which can be taken equal to 8 cm.
\[\therefore BD=8cm\].
Let us consider the other diagonal as AC with the length of 6 cm.
\[\therefore AC=6cm\].
Now, we are going to construct rhombus ABCD with diagonal lengths \[BD=8cm\]and \[AC=6cm.\]
First draw a line BD of 8 cm.
Take the bisector of BD of 8 cm. Draw the perpendicular bisector PQ of BD. Let’s take the center point of BD as ‘O’ where it is bisected.
Now mark OA = OC = 3 cm, i.e. it will be half of the diagonal of 6 cm.
Now we have to join all the sides to get the rhombus. We have drawn the two diagonals \[BD=8cm\]and \[AC=6cm.\]
Let’s join AB, AD, BC and CD.
Now if we measure side AB, we will get it as 5 cm.
Similarly, if we measure AD, BC and CD we will get it as 5cm.
To find the perpendicular bisector, take more than half of the length of side BD. Cut an arc above and below the line segment BC from point B and C. Then join the perpendicular bisector PQ.
Hence, we constructed the required figure of rhombus ABCD.
Note: You can also take base as 6 cm then bisect and draw perpendicular to 6 cm. Then mark 4 cm in top and bottom of the segment. Join them to get 8 cm. Then join all the sides AB, BC, CD and DA. Still you will get the same length as 5 cm for all sides of the rhombus.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
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
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Two charges are placed at a certain distance apart class 12 physics CBSE
Difference Between Plant Cell and Animal Cell
What organs are located on the left side of your body class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
The planet nearest to earth is A Mercury B Venus C class 6 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
What is BLO What is the full form of BLO class 8 social science CBSE