Construction of Quadrilateral when length of four sides and one angle is given
Construction of Quadrilateral when length of four sides and one angle is given
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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