Q. 105.0( 1 Vote )

Construct a cycli

Answer :

We need to construct the required quadrilateral, when three sides and one diagonal of a cyclic quadrilateral are given.


Steps of construction:


Step 1: Draw a line segments AB = 6.5 cm



Step 2: Through B draw BX such that ABX = 110°



Step 3: With B as centre and radius 5.5 cm, draw an arc intersecting BX at C.



Step 4: Draw the perpendicular bisectors of AB and BC intersecting each other at O.



Step 5: With O as centre and OA (= OB = OC) as radius, draw the circumcircle of Δ ABC.



Step 6: From C, draw CY such that CY || AB, which intersects the circle at D.



Step 7: Join AD.



Thus, ABCD is the required cyclic quadrilateral.


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 :

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math

Construct a cycliTamil Nadu Board - Math