Advertisements
Advertisements
प्रश्न
Construct a quadrilateral ABCD in which AB = 7.7 cm, BC = 6.8 cm, CD = 5.1 cm, AD = 3.6 cm and ∠C = 120°.
Advertisements
उत्तर
Steps of construction:
Step I: Draw DC = 5 . 1 cm .
\[\text { Step II: Construct} \angle DCB = 120^\circ . \]
Step III : With C as the centre and radius 6 . 8 cm, cut off BC = 6 . 8 cm .
Step IV: With B as the centre and radius 7 . 7 cm, draw an arc .
Step V : With D as the centre and radius 3 . 6 cm, draw an arc to intersect the arc drawn in Step IV at A .
Step VI: Join AB and AD to obtained the required quadrilateral .

संबंधित प्रश्न
Construct the following quadrilaterals.
Rectangle OKAY
OK = 7 cm
KA = 5 cm
Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot. (Not possible, because in triangle ACD, AD + CD < AC).
Construct a quadrilateral ABCD in which AB = BC = 6 cm, AD = DC = 4.5 cm and ∠B = 120°.
Construct a quadrilateral ABCD, where AB = 4.2 cm, BC = 3.6 cm, CD = 4.8 cm, ∠B = 30° and ∠C = 150°.
Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.
Construct a quadrilateral PQRS, where PQ = 3.5 cm, QR = 6.5 cm, ∠P = ∠R = 105° and ∠S = 75°.
Construct a quadrilateral ABCD, where ∠A = 65°, ∠B = 105°, ∠C = 75° BC = 5.7 cm and CD = 6.8 cm.
Construct the following quadrilaterals with the given measurements and also find their area.
AGRI, AG = 4.5 cm, GR = 3.8 cm, ∠A = 60°, ∠G = 110° and ∠R = 90°
To construct a unique parallelogram, the minimum number of measurements required is ______.
A quadrilateral can be constructed uniquely if three angles and any two sides are given.
