Construct a quadrilateral ABCD in which AB=BD=3.5cm, AD=CD=5.2 and ∠ABC=120 o

Question

Philoid · Accepted Answer

The given quadrilateral ABCD can be drawn as follows:

Step 1: Draw a line segment AB = 3.5 cm.

Step 2: At B, draw ∠ABX = 120°.

Step 3: Cut BD = 3.5 cm on ray BX

Step 4: At D, draw ∠BDY = 60°. (∠B + ∠D = 180°)

Step 5: Cut CD = 5.2 cm on ray DY

Step 6: Now, join C to A.

Step 7: ABCD is the required quadrilateral.

Construct a quadrilateral ABCD in which AB=BD=3.5cm, AD=CD=5.2 and ∠ABC=120o