Constructing a parallelogram with two adjacent sides and one diagonal — lesson. Mathematics State Board, Class 8.

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Working rule to construct a parallelogram:

Let us discuss the working rule to construct a parallelogram when the measures of two adjacent sides and a diagonal of a parallelogram are given.

Example:

Construct a parallelogram

$DUCK$ with

$DU$

$=$

$8$

$cm$ ,

$UC$

$=$

$6.5$

$cm$ and

$DC$

$=$

$11$

$cm$ .

Construction:

Step 1: Draw a line segment

$DU$

$=$

$8$

$cm$ .

Step 2: With

$D$ and

$U$ as centres, draw two arcs of radii

$11$

$cm$ and

$6.5$

$cm$ respectively such that they intersect each other at

$C$ .

Step 3: Join

$DC$ and

$UC$ .

Step 4: With

$C$ and

$D$ as centres, draw two arcs of radii

$8$

$cm$ and

$6.5$

$cm$ respectively such that they intersect each other at

$K$ .

Step 5: Join

$DK$ and

$CK$ .

Step 6:

$DUCK$ is the required parallelogram. The measure of

$KE$ gives the height of the parallelogram

$DUCK$ .

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11. Constructing a parallelogram with two adjacent sides and one diagonal

Theory: