Question

Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and $\angle ABC=\angle ACD={90}^{\circ }$.

Answer 1

Steps of Construction :

(i) Draw a line segment AB = 4 cm.

(ii) At B, draw a ray BX making an angle of ${90}^{\circ }$.

(iii) From A, draw an arc of 5 cm. radius intersecting BX at C.

(iv) Join AC.

(v) At C, draw a ray CY making an angle of ${90}^{\circ }$.

(vi) From A, draw an arc of radius 5.5 cm. which intersects CY at D.

(vii) Join AD.

ABCD is the required quadrilateral.