Advertisements
Advertisements
Question
Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.0 cm, AD = 2.3 cm, AC = 4.5 cm and BD = 3.8 cm.
Advertisements
Solution
\[\text { Steps of construction: } \]
\[\text { Step I: Draw AC = 6 cm }. \]
\[\text { Step II: With A as the centre and radius 3 . 8 cm, draw an arc } . \]
\[\text { Step III : With C as the centre and radius 3 . 0 cm, draw an arc to intersect the arc drawn in Step II at B }. \]
\[\text { Step IV: With B as the centre and radius 3 . 8 cm, draw an arc on the other side of AC }. \]
\[\text { Step V : With A as the centre and radius 2 . 3 cm, draw an arc to intersect the arc drawn in Step IV at D }. \]
\[\text { Step VI: Join BA, DA, BC and CD to obtained the required quadrilateral }.\]
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 in which AB = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.
Construct a quadrilateral ABCD, in which AB = 6 cm, BC = 4 cm, CD = 4 cm, ∠B = 95° and ∠C = 90°.
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 PQRS, where PQ = 3.5 cm, QR = 6.5 cm, ∠P = ∠R = 105° and ∠S = 75°.
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°
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.
