Construction of a quadrilateral when two diagonals and three sides are given — lesson. Mathematics State Board, Class 8.

UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Depending on the sides and diagonal lengths, establish an $ACD$ triangle. Based on $SSS$ construction.

Make an arc at a specified distance of point $C$ (third side), on the front arc. Name the two points intersection as $B$ .

$A$ , $C$ and $D$ join $B$ . This completes both diagonals of the quadrilateral $PQRS$ .

Example:

Construct a

$GOLD$ with quadrilateral measures as follows.

$OL = 7.5 cm$ ,

$GL = 6 cm$ ,

$GD = 6 cm$ ,

$LD = 5 cm$ ,

$OD = 10 cm$ .

Step 1: Draw Side

$GD = 6 cm$ and cut the

$G$ (

$6 cm$ ) and

$D$ (

$5 cm$ ) arcs above it. Mark the intersection as

$L$ .

$GL$ and

$DL$ are joined.

Step 2: Draw and arc from

$L$ equal to

$7.5 cm$ and from

$D$ equal to

$10 cm$ , which is the length of

$OL$ and

$OD$ respectively.

Step 3:Mark the intersection with

$O$ and

$OG$ ,

$OL$ and

$OD$ join.

Thus, the

$GOLD$ is a required quadrilateral.

Did you find an error?

6. Construction of a quadrilateral when two diagonals and three sides are given