Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
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 = 3.8 cm, BC = 3.4 cm, CD = 4.5 cm, AD = 5 cm and ∠B= 80°.
Construct a quadrilateral ABCD, given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.
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, where AB = 5.5 cm, BC = 3.7 cm, ∠A = 60°, ∠B = 105° and ∠D = 90°.
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.
