Construct a quadrilateral ABCD given AB = 5.6cm,BC = 4.1cm,CD = 4.4cm, AD = 3.3cm, and angle A =75 degree
Answers
Question:Construct a quadrilateral ABCD with AB = 4 cm, BC = 6 cm, CD = 5.6 cm DA = 5 cm and AC = 8 cm. Find also its area.
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 = h1 = 3 cm and DF = h2 = 3.5 cm.
AC = d = 8 cm.
Calculation of area:
In the quadrilateral ABCD, d = 8 cm, h1 = 3 cm and h2 = 3.5 cm.
Area of the quadrilateral ABCD = 21d(h1+h2)
=21(8)(3+3.5)
=21×8×6.5
=26cm2
Answer:
hope it will help you ...
