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