Mathematics
Construct a quadrilateral ABCD; if :
AB = AD = 5 cm, BD = 7 cm and BC = DC = 5.5 cm.
Quadrilaterals Constructions
10 Likes
Answer
Steps:
Draw AB = 5 cm.
Taking A as center, draw an arc of radius 5 cm (= AD) and taking B as center, draw one more arc of radius 7 cm (= diagonal BD). Let the two arcs intersect at point D.
Taking D as center, draw an arc of radius 5.5 cm (= CD) and taking B as center, draw one more arc of radius 5.5 cm(= BC). Let the two arcs intersect at point C.
Join DC and BC.

Hence, ABCD is the required quadrilateral.
Answered By
9 Likes
Related Questions
Construct a quadrilateral ABCD; if :
AB = 8 cm, BC = 5.4 cm, AD = 6 cm, ∠A = 60° and ∠B = 75°.
Construct a quadrilateral ABCD; if :
AB = 6 cm = AC, BC = 4 cm, CD = 5 cm and AD = 4.5 cm.
Construct a parallelogram ABCD, if :
AB = 3.6 cm, BC = 4.5 cm and ∠ABC = 120°.
Construct a parallelogram ABCD, if :
BC = 4.5 cm, CD = 5.2 cm and ∠ADC = 60°.