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 .
APPEARS IN
संबंधित प्रश्न
Construct the following quadrilaterals.
Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.
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 ABCD in which AB = BC = 6 cm, AD = DC = 4.5 cm and ∠B = 120°.
Construct a quadrilateral ABCD given BC = 6.6 cm, CD = 4.4 cm, AD = 5.6 cm and ∠D = 100° and ∠C= 95°.
Construct a quadrilateral PQRS, in which ∠Q = 45°, ∠R = 90°, QR = 5 cm, PQ = 9 cm and Rs = 7 cm.
Construct a quadrilateral ABCD, where AB = 5.5 cm, BC = 3.7 cm, ∠A = 60°, ∠B = 105° and ∠D = 90°.
Construct a quadrilateral ABCD, where ∠A = 65°, ∠B = 105°, ∠C = 75° BC = 5.7 cm and CD = 6.8 cm.
A quadrilateral can be constructed uniquely if three angles and any two sides are given.
Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O = 120°, ∠R = 105° and ∠A = 135°? If not, why?
