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Q.

Important Questions for Class 10 Maths Chapter 11 Constructions 22

Following are the steps of the construction of a triangle ABC in which BC = 6 cm, AB = 5 cm, and ∠ABC = 60° and the construction of another triangle whose sides are 34 times the corresponding sides of ∆ABC.

Steps of Construction:

  • Draw ∆ABC with the given data.
  • Draw a ray BX downwards making an acute angle with BC.

Choose the correct next step from the given options.

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a

Locate 4 points B1, B2, B3, B4 on BX, such that BB1 = B1B2 = B2B3 = B3B4.

b

From C’ draw A’C’ || AC intersecting AB at B’.

c

From B3 draw a line C’B3 || CB4 intersecting BC at C’.

d

Join CB4.

answer is D.

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Detailed Solution

Steps of Construction:

  • Draw ∆ABC with the given data.
  • Draw a ray BX downwards making an acute angle with BC.
  • Locate 4 points B1, B2, B3, B4, on BX, such that BB1 = B1B2 = B2B3 = B3B4.
  • Join CB4.
  • From B3 draw a line C’B3 || CB4 intersecting BC at C’.
  • From C’ draw A’C’ || AC intersecting AB at A’.

Then ∆A'BC’ in the required triangle.

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