Question

Construct a quadrilateral LMNO in which LM = 5.3 cm, MN = 5.6 cm, NO = 3.5 cm, ZM=60° and Z N=120°. ​

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Construct □LMNO such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5cm, l(OM) = 7.5 cm.

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Solution

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Step 1: Draw a horizontal line segment LM=6cm

Step 2: From point L draw an arc having radius=6cm

Step 3: From point M, draw another arc having radius=7.5cm such that it intersects with the arc drawn in step 2. The point of intersection of arcs is point o.

Step 4: Join points LO and OM. LO is the side of quadrilateral while OM is the diagonal.

Step 5: Draw an arc having radius =4.5cm from point O.

Step 6: From point M, draw another arc having radius=4.5cm such that it intersects with arc drawn in step 5.

The point of intersection is N.

Step 7: Join points O and N and points M and N. ON and MN are also the sides of quadrilateral □LMNO.

Step-by-step explanation:

it's a hint.