Math, asked by akjha0404, 3 months ago

construct a quadrilateral ABCD in which AB= 4.8cm, BC =5.6cm,CD= 6cm, AC =7cm and BD =6.5cm​

Answers

Answered by prabhas24480
3

Information given about quadrilateral A B CD

AB=4.8cm, BC=5.6cm, CD=6 cm DA=7 cm and B D= 6.5cm

Steps of Construction

1. Draw a line segment AB of length 4.8 cm.

2. Mark arc from A in upper direction at a distance of 7cm.

3. Mark arc from B at a distance of 6.5cm cutting the arc marked from A. The point where it cuts the arc marked from A is point D.

4. Cut an arc of length of 5.6cm from point B .

5. Mark arc from Point D at a distance of 6.5cm. The point where it cuts arc marked from Point B will give the point C.

follow these steps..

u will get....

Attachments:
Answered by UniqueBabe
2

Answer:

Given: AB = 4 cm, BC = 6 cm, CD = 5.6 cm, DA = 5 cm and AC = 8 cm.

To construct a quadrilateral

Steps for construction

Step 1 : Draw a rough figure and mark the given measurements.

Step 2 : Draw a line segment AB = 4 cm.

Step 3 : With A and B as centres draw arcs of radii

8 cm and 6 cm respectively and let them cut at C.

Step 4 : Join

AC

and

BC

Step 5 : With A and C as centres draw arcs of radii 5 cm, and 5.6 cm respectively and let them cut at D.

Step 6 : Join

AD and CD

. ABCD is the required quadrilateral.

Step 7 : From B draw BE⊥

AC

and from D draw

DF⊥

AC

, then measure the lengths of BE and DF. BE =

h

1

= 3 cm and DF =

h

2

= 3.5 cm.

AC = d = 8 cm.

Calculation of area:

In the quadrilateral ABCD, d = 8 cm,

h

1

= 3 cm and

h

2

= 3.5 cm.

Area of the quadrilateral ABCD =

2

1

d(h

1

+

h

2

=

2

1

(8)(3+

3.5)

=

2

1

× 8× 6.5

= 26cm

2

Step-by-step explanation:

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