Mathematics
Using ruler and compasses only, construct the quadrilateral ABCD given that AB = 5 cm, BC = 2.5 cm, CD = 6 cm, ∠BAD = 90° and the diagonal AC = 5.5 cm.
Rectilinear Figures
5 Likes
Answer
Steps of construction:
- Draw a line segment AB = 5cm.
- With centre A and radius 5.5 cm, draw an arc.
- With centre B and radius 2.5 cm, draw an arc to meet the previous arc at C.
- Join AC and BC.
- At A, construct ∠BAX = 90°.
- With centre C and radius 6 cm, draw an arc intersecting AX at D.
- Join CD. Then, ABCD is the required quadrilateral.
Answered By
5 Likes
Related Questions
Construct a quadrilateral ABCD in which AB = 3.3 cm, BC = 4.9 cm, CD = 5.8 cm, DA = 4 cm and BD = 5.3 cm.
Draw a quadrilateral ABCD with AB = 6 cm, BC = 4 cm, CD = 4 cm and ∠ABC = ∠BCD = 90°.
Construct a trapezium ABCD in which AD || BC, AB = CD = 3 cm, BC = 5.2 cm and AD = 4 cm.
Using ruler and compasses only, construct the quadrilateral ABCD in which ∠BAD = 45°, AD = AB = 6cm, BC = 3.6cm, CD = 5cm. Measure ∠BCD.