UPSKILL MATH PLUS

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Working rule to construct a trapezium:

Let us discuss the working rule to construct a trapezium when the measure of three sides and one angle of a trapezium are given.
Example:
Construct a trapezium $$FINE$$ in which $$\overline{FI}$$ is parallel to $$\overline{NE}$$, $$FI$$ $$=$$ $$8.5$$ $$cm$$, $$IN$$ $$=$$ $$6.5$$ $$cm$$, $$FE$$ $$=$$ $$7.5$$ $$cm$$ and $$\angle FIN$$ $$=$$ $$75^{\circ}$$ at $$I$$.

Construction:

Step 1: Draw a line segment $$FI$$ $$=$$ $$8.5$$ $$cm$$.

Step 2: With $$I$$ as centre, mark an angle $$75^{\circ}$$ using a protractor and mark it as $$X$$. Join $$IX$$

Step 3: With $$I$$ as centre, draw an arc of radius $$6.5$$ $$cm$$ intersecting $$IX$$ at $$N$$.

Step 4: Draw a line $$NY$$ parallel to $$FI$$.

Step 5: With $$F$$ as centre, draw an arc of radius $$7.5$$ $$cm$$ intersecting $$NY$$ at $$E$$.

Step 6: Join $$FE$$. The measure of $$NA$$ gives the height of the required trapezium $$FINE$$.