Q. 35.0( 2 Votes )

Draw a square of

Answer :

Steps of construction:


1. Draw a line BC = 5 cm, taking B and C as centres, draw


ABC = BCD = 90°, such that AB = CD = 3 cm



2. Join AD to get rectangle ABCD, here area(ABCD) = length × breadth = 5 × 3 = 15 cm.



3. From the rectangle drawn, extend AD by 3 cm to D'.



4. From the mid–point of AD'(Let it be O such that OA = OD'=4 cm) Draw a circle taking OA = OD' as radius.



3. Now, draw a chord PQ AD', passing through D.



6. Taking DP as side, draw a square DPRS, which is required.



Concept used:


The area of rectangle form of parts into which a diameter of a circle is cut by a perpendicular chord is equal to the area made by the square of half the chord.


And in the diagram, we made, AD' is diameter and PQ is perpendicular chord, therefore


Area(DPRS) = ar(ABCD) = 15 cm2


And DPRS is a square


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Draw a triangle oKerala Board Mathematics Part-1

Draw a rectangle Kerala Board Mathematics Part-1

Draw a square of Kerala Board Mathematics Part-1

Draw a square of Kerala Board Mathematics Part-1

In the picture, cKerala Board Mathematics Part-1