Construction of Quadrilateral when length of four sides and one angle are given: Here we will construct a quadrilateral when length of four sides and one angle is given to us. To construct such a quadrilateral that side which contains the angle given to us is drawn as the base. First we draw a rough sketch and will then follow the steps
Step 1: Construct a line segment of length given for the side AB. We have chosen AB because we are assuming that angle B is given to us. | |
Step 2: Using a protactor we will construct | |
Step 3: With B as centre and radius equal to the length given for BC, draw an arc intersecting BX at C. | |
Step 4: Join AC | |
Step 5: With A as centre and radius equal to the length given for AD, draw an arc | |
Step 6: With C as centre and radius equal to the length given for CD, draw an arc intersecting arc drawn in step 5 and mark the point of intersection as D. | |
Step 7: Join AD and CD. This ABCD is the required quadrilateral. |
Illustration:: Contruct a quadrilateral ABCD in which AB = 2.7 cm, BC = 3.5 cm, CD = 4 cm, AD = 6 cm and .
Solution: Here, four sides and one angle are given. We first draw the rough sketch Thus, to draw the quadrilateral ABCD, we follow the following steps.
Steps of Construction: Step I Draw AB = 2.7 cm. Step II Construct Step III With B as centre and radius BC = 3.5, cut off BC = 3.5 cm along BX. Step IV Join AC. Step V With A as centre and radius AD = 6 cm draw an arc. Step VI With C as centre and radius CD = 4 cm draw an arc to cut the arc drawn in step V at D. Step VII Join CD and AD . |
The quadrilateral ABCD so obtained is the required quadrilateral.
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