Question

Q3. Construct a quadrilateral ABCD, where AB=4cm BC = 5cm, CD = 5cm, <B=120° and < C = 90​

Answer 1

Step-by-step explanation:

1. Construct the line segment BC of length 5 cm.

2. At B, construct an arc and cut two smaller arcs which represent 60° and 120° respectively.

3. Extend a line segment of length 4 cm such that it cuts the arc of 120°. Name the point as A.

4. At C, construct an arc and cut two smaller arcs which represent 60° and 120° respectively.

5. Bisect 60° and 120° to get 90°.

6. Extend the line segment of length 5 cm such that it cuts the arc of 90°. Name the point as D.

7. Join A and D. ABCD is the required quadrilateral.