Construct a quadrilateral ABCD in which AB=4cm, AC=5cm, AD=5.5cm and ∠ABC =∠ACD = 90°.

Question

Construct a quadrilateral ABCD in which AB=4cm, AC=5cm, AD=5.5cm and ∠ ABC = ∠ ACD = 90 ° .

Philoid · Accepted Answer

The given quadrilateral ABCD can be drawn in such a way:

Step 1: Draw a line segment AB = 4cm

Step 2: Now, draw an angle of 90° with the help of a protractor and extend it. Then, From A, take a radius of 5 cm in the compass and cut the arc at point C. Join AC.

Step 3: Now, with the help of a protractor, make a right angle at point C, and extend it.

Step 4: Take a radius 5.5 cm in the compass and then cut an arc at point D.

Step 5: Join AD

The quadrilateral ABCD is formed.