AC = 7.2 cm.
1. Construct a quadrilateral ABCD in which AB = 6m , BC = 5.4 cm, CD = 4.8 cm, AD = 5.8 cm and AC= 7.2CM
Answers
Answer:
Step-by-step explanation:
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 ⊥ AD , then measure the lengths of BE and DF. BE = h 1 = 3 cm and DF = h2 = 3.5 cm. AC = d = 8cm.
Calculation of area:
In the quadrilateral ABCD, d = 8 cm, h1 = 3 cm and h2 = 3.5 cm.
Area of the quadrilateral ABCD = 2 1 d(h1 +h 2 ) =2 1 (8)(3+3.5)= 2 1 ×8×6.5 =26cm ^2.