construct quadrilateral AB=4CM BC=4.5CM AD=5CM angleA=80degree.Diagonal AC bisects angle A .
Draw AB=5cm as base
Take angle A as 80degree
Measure BC -4.5 cm
And AD -4 cm
Now using compass sketch an arc from point B & D and draw a line from the point A to bisect the point where the arc bisects,BC line is 4.5cm now u'r fig is completed jst draw the points C &D and that's it
Solve
To construct the quadrilateral with the given specifications, follow these steps:
Step 1: Draw a line segment AB of length 4 cm.
Step 2: At point A, construct an angle of 80 degrees using a protractor.
Step 3: Extend the line AB beyond point B and mark a point C on the extension, such that BC is 4.5 cm.
Step 4: From point A, draw a line segment AD of length 5 cm, within the angle A.
Step 5: Bisect angle A by drawing another line segment, AC, intersecting the line segment BC at point E. Make sure AC passes through point D.
Step 6: Name the point of intersection between the line segments AD and BC as F.
Step 7: Connect points A, C, and F to form the quadrilateral, ABCF.
Now you have constructed a quadrilateral ABCF with AB = 4 cm, BC = 4.5 cm, AD = 5 cm, and angle A = 80 degrees. The diagonal AC bisects angle A.