Math, asked by sumansingh90539, 21 days ago

Construct a quadrilateral ABCD with its four sides AB = 4.5 cm, BC = 5 cm, CD=4 cm, and AD = 4.8 cm, and ZA= 120°.​

Answers

Answered by KailashHarjo
0

Given:

AB = 4.5 cm

BC = 5 cm

CD = 4 cm

AD = 4.8 cm

ZA = 120°

To Find:

Construct a quadrilateral with the given measurement of the sides

Solution:

To construct a quadrilateral with the given dimensions and angle, follow these steps:

  • Draw a line segment AB with a length of 4.5 cm. This will be one side of the quadrilateral.
  • Place the point of your compass at point A and draw an arc that intersects line segment AB. This arc should have a radius of 4.8 cm, which is the length of side AD.
  • Place the point of your compass at the intersection of the arc and line segment AB, and draw another arc that intersects the first arc. This arc should have a radius of 4 cm, the length of the side CD.
  • Place the point of your compass at the intersection of the two arcs, and draw a final arc that intersects the previous two arcs. This arc should have a radius of 5 cm, which is the length of side BC.
  • The intersection of the three arcs will be point C. Draw line segment CD to complete the quadrilateral ABCD.

The resulting quadrilateral should have the dimensions and angle specified in the problem.

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