Q. 265.0( 2 Votes )

Draw a ΔABC with

Answer :

Given Δ ABC,

  • AB = 6 cm
  • AC = 8 cm
  • BC = 9 cm

Steps of construction:

  1. Draw a base AB of 6 cm.

2. With A as center and 8 cm as the radius, draw an arc.

 

  1. With B as center and 9 cm as the radius, draw an arc which cuts the previous arc at point C.

4. Join AC and BC. Thus ΔABC is the required triangle.


5. Now, from A, draw a ray AX which makes an acute angle on the opposite side of the vertex C.


6. With A as center, mark five points A1, A2, A3, A4 and A5 on AX such that they are equidistant. i.e. AA1 = A1A2 = A2A3 = A3A4 = A4A5.


7. Join A5B and then draw a line from A3 parallel to A5B which meets the line AB at E.


8. From E, draw a line parallel to BC and meets the line AC at F.


Thus ΔAEF is the required triangle.

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