Advertisements
Advertisements
Question
Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.
Advertisements
Solution
Steps of construction:
Step I: Draw AB = 3 cm .
Step II: Construct ∠ ABC = 120° .
Step III : With B as the centre and radius 3 cm, cut off BC = 3 cm .
Step IV: With C as the centre and radius 5 cm, draw an arc .
Step V : With A as the centre and radius 5 cm, draw an arc to intersect the arc drawn in Step IV at D .
Step VI: Join AD and CD to obtained the required quadrilateral .
APPEARS IN
RELATED QUESTIONS
Construct the following quadrilaterals.
Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.0 cm, AD = 2.3 cm, AC = 4.5 cm and BD = 3.8 cm.
Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4 cm, CD = 4.5 cm, AD = 5 cm and ∠B= 80°.
Construct a quadrilateral ABCD in which AB = 2.8 cm, BC = 3.1 cm, CD = 2.6 cm, and DA = 3.3 cm and ∠A = 60°.
Construct a quadrilateral PQRS, in which PQ = 3.5 cm, QR = 2.5 cm, RS = 4.1 cm, ∠Q = 75° and ∠R = 120°.
Construct a quadrilateral ABCD, in which AD = 3.5 cm, AB = 4.4 cm, BC = 4.7 cm, ∠A = 125° and ∠B= 120°.
Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.
Construct a quadrilateral ABCD, where AB = 5.5 cm, BC = 3.7 cm, ∠A = 60°, ∠B = 105° and ∠D = 90°.
Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.
In a parallelogram PQRS, if ∠P = 60°, then other three angles are ______.
