Advertisements
Advertisements
Question
Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.
Solution
Steps of construction:
Step I: Draw AB = 3 cm .
Step II: Construct ∠DAB = 90° at A .
Step III : With A as the centre and radius 5 cm, cut off AD = 5 cm .
Step IV: Construct ∠ABC = 105° at B .
Step V : With B as the centre and radius 3 cm, cut off BC = 3 cm .
Step VI: Join CD .
The quadrilateral so obtained is the required quadrilateral .
APPEARS IN
RELATED QUESTIONS
Construct the following quadrilaterals.
Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
Construct the following quadrilaterals.
Rectangle OKAY
OK = 7 cm
KA = 5 cm
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 BDEF, where DE = 4.5 cm, EF = 3.5 cm, FB = 6.5 cm, ∠F = 50° and ∠E = 100°.
Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.
Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.
Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.
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.
