Construct a quadrileteral ABCD with AB=9cm, BC=3.5cm, AD= 7cm,BD=8.5cm. Measure & write down (i) the size of angle BCD (ii)the length of CD (iii) the radius of inscribed circle

More to above answer :
5. Draw an arc with B as centre and radius of 3.5 cm where this arc intersects with previous arc (arc in the step 4) name it point C.
6. Join AD, BC and CD
When you are done with the above steps then you can manually calculate angle BCD and length of CD. To measure radius of inscribe circle you have to make inscribe circle in it.

With the help of property of inscribed circle we will calculate the radius .

Steps to construct inscribe circle:
1. Draw angle bisectors of all angles of the quadrilateral i.e. (angle ABC, angle BCD, angle CDA and angle DAB)
2. Where all angle bisectors of quadrilateral intersect that point will be centre of a inscribed circle; name it O.
3. Draw perpendicular to any of the side of the quadrilateral from the centre of the circle.
4. Where the perpendicular meet on the side; name it P
5. Manually measure OP, this will be the radius of the inscribed circle.

by Winpossible

Sep 03, 10 10:59AM PST

Additional Information:

Steps to Construct Angle Bisector:
1. Draw an arc that is centered at the vertex of the angle (say B). This arc can of any radius. It must intersect both sides of the angle (say AB and CB). Give the intersection points some name (say R and S)
2. Now draw two more arcs. First arc should centered on one of the two points R or S and the second arc should centered on the other point. The radius for both the arcs must be same and the arcs must intersect in at least one point. Let the intersection point be X.
3. Draw a line from vertex B passing through X. Mark the endpoint of this line as D. So BD is the angle bisector

Home > Math > Algebra 1