Question

Construct quadrilateral DEFG such that, l(DE) =5.5cm, l(EF) =6.5cm, l(DG) =5.5cm, l(DF) = 7.5cm, l(EG) =8cm.​

Answer 1

Answer:

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Answer 2

Steps of Construction:

Step 1: Draw MO = 5.8 cm.

Step 2: Draw ∠MOX = 105°°.

Step 3: With O as centre and radius 4.4 cm, draw an arc cutting ray OX at R.

Step 4: Draw ∠ORY = 90°°.

Step 5: Draw ∠OMZ = 58°° such that ray MZ and ray RY intersect each other at E.

Here, MORE is the required quadrilateral.

(2)

Steps of Construction:

Step 1: Draw DE = 4.5 cm.

Step 2: With D as centre and radius 7.2 cm, draw an arc.

Step 3: With E as centre and radius 6.5 cm, draw an arc cutting the previous arc at F.

Step 4: Join EF.

Step 5: With D as centre and radius 5.5 cm, draw an arc.

Step 6: With E as centre and radius 7.8 cm, draw an arc cutting the previous arc at G.

Step 7: Join DG and GF.

Here, DEFG is the required quadrilateral.

(3)

Steps of Construction:

Step 1: Draw AB = 6.4 cm.

Step 2: Draw ∠ABX = 50°°.

Step 3: With B as centre and radius 4.8 cm, draw an arc cutting ray BX at C.

Step 4: Draw ∠BCY = 140°°.

Step 5: Draw ∠BAZ = 70°° such that ray AZ and ray CY intersect each other at D.

Here, ABCD is the required quadrilateral.

(4)

Steps of Construction:

Step 1: Draw LM = 6 cm.

Step 2: With L as centre and radius 6 cm, draw an arc.

Step 3: With M as centre and radius 7.5 cm, draw an arc cutting the previous arc at O.

Step 4: Join OL.

Step 5: With O as centre and radius 4.5 cm, draw an arc.

Step 6: With M as centre and radius 4.5 cm, draw an arc cutting the previous arc at N.

Step 7: Join ON and MN.