Construct a quadrilateral $A B C D$ in which $A B = 4.2 c m, B C = 6 c m, C D = 5.2 c m, D A = 5 c m$ and $A C = 8 c m$ .

Open in App

Solution

1) Draw $A B = 4.2$ cm.
2) With $A$ as centre and radius equal to $8$ cm, draw an arc.
3) With $B$ as centre and radius equal to $6$ cm, draw another arc, cutting the previous arc at $C$ .
4) Join $A C$ and $B C$ .
5) With $A$ as centre and radius equal to $5$ cm, draw an arc.
6) With $C$ as centre and radius equal to $5.2$ cm, draw another arc cutting the previous arc at $D$ .
7) Join $A D$ and $C D$ .
Hence, $A B C D$ is the required quadrilateral.

Suggest Corrections

Similar questions

Try to draw quadrilateral ABCD of these specifications:

(i) AB = 7 cm, BC =5 cm, CD = 4 cm, ∠B = 60°, ∠C = 140°.

(ii) AB = 8 cm, BC = 6 cm, CD = 5.5 cm, DA = 3 cm, ∠B = 50°.

(iii) AB = 8.5 cm, BC = 4.5 cm, CD = 5 cm, DA = 6 cm, BD = 7.5 cm.

Construct a quadrliateral ABCD; if:

(i) AB = 4.3 cm, BC = 5.4, CD = 5 cm, DA = 4.8 cm and $∠$ ABC = $75^{\circ}$ .

(ii) AB = 6 cm, CD = 4.5 cm, BC = AD = 5 cm and $∠ BCD = 60^{\circ}$

(iii) AB = 8 cm, BC = 5.4 cm, AD = 6 cm, $∠ A = 60^{\circ}$ and $∠ B = 75^{\circ}$ .

(iv) AB = 5 cm, BC = 6.5 cm, CD = 4.8 cm, $∠ B = 75^{\circ}$ and $∠ C = 120^{\circ}$

(v) AB = 6 cm = AC, BC = 4 cm, CD = 5 cm and AD = 4.5 cm.

(vi) AB = AD = 5 cm, BD = 7 cm and BC = DC = 5.5 cm

A B C D

A B = 3 c m, B C = 4 c m, C D = 4 c m, D A = 5 c m

A C = 5 c m

Question 2
Find the area of a quadrilateral ABCD in which AB=3cm,BC=4cm,CD=4cm, DA = 5cm and AC= 5cm.

Join BYJU'S Learning Program