Advertisements
Advertisements
प्रश्न
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°.
Advertisements
उत्तर
Steps of construction:
Step I: Draw AB = 2 . 8 cm .
Step II: Construct ∠BAD = 60° .
Step III : With A as the centre and radius 3 . 3 cm, cut off AD = 3 . 3 cm .
Step IV: With D as the centre and radius 2 . 6 cm, draw an arc .
Step V : With B as the centre and radius 3 . 1 cm, draw an arc to intersect the arc drawn in Step IV at C .
Step VI: Join BC and CD to obtained the required quadrilateral .
संबंधित प्रश्न
Construct the following quadrilaterals.
Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
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 = 6 cm, BC = 4 cm, CD = 4 cm, ∠B = 95° and ∠C = 90°.
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 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, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.
Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.
In a parallelogram PQRS, if ∠P = 60°, then other three angles are ______.
A quadrilateral can be constructed uniquely if three angles and any two sides are given.
