Construction of Quadrilateral when length of two adjacent sides and three angles are given: Here we will construct a quadrilateral when two sides adjacent to each other are give and three angles are given to us. First we draw a rough sketch and will then follow the steps
Step 1: Construct a line AB of the length given to us. | ![]() |
Step 2: With the help of a protactor Draw an the measure given to us. We have assumed the angle to be 75 degree. | ![]() |
Step 3: With the help of a protactor Draw an to the measure given to us. We have assumed the angle to be 115 degree. | ![]() |
Step 4: With B as centre and radius equal the length of BC draw an arc on BY and mark it as C | ![]() |
Step 5: With the help of a protactor Draw an to the measure given to us. We have assumed the angle to be 85 degree. The line CZ intersect at line AX at point D. | ![]() |
Step 6: ABCD is the reqiured Quadrilateral | ![]() |
Illustration: Construct a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, ,
and
.
Solution: Let us draw a rough sketch of the quadrilateral and write down the given data as shown below:
We now follow following steps to construct the required quadrialteral.
Steps of Construction;
Step 1: Draw AB = 3.5 cm.
Step 2: Draw at A
Step 3: Draw at B.
Step 4: With B as centre and radius BC = 6.5 cm, draw an arc to intersect BY at C.
Step 5: At C draw such that CZ meets AX at D.
ABCD is the required quadrilateral.
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