Construct a quadrilateral ABCD in which AB = 4.5 cm, BC = 4 cm, CD = 6.5 cm, DA = 3 cm
and BD = 6.5 cm.
quadrilateral ABCD in
Answers
Answer:
Step-by-step explanation:
A quadrilateral has ten parts in all: four sides, four angles and two diagonals. To construct a quadrilateral, we shall need data about five specified parts of it.
That is we can construct a quadrilateral if given:
1. Four sides and one diagonal.
2. Three sides and two diagonals.
3. Three sides and two included angles.
4. Two adjacent sides and three angles.
5. Two adjacent sides and three angles.
2:Draw a rough figure indicating all the length.
Step 1 of 5
Write the given information:
In quadrilateral ABCD given:
Rough figure:
Draw a line BD
Step 2 of 5
Draw an arc of 3.5 cm with B as the centre.
Step 3 of 5
Cut the arc drawn in step2 with 4.5 cm as radius and that point of intersection is A. Join BA and DA.
Step 4 of 5
Draw another arc from B with 3.8 cm radius on opposite side of BD.
Step 5 of 5
Cut the arc drawn in step4 from D taking 4.5 cm as radius and the point of intersection is C. Now join BC and CD
Therefore,
The quadrilateral ABCD is constructed.
Final Answer
Hence,
The quadrilateral ABCD is constructed.