मराठी

Draw an ∠ABC = 60°, having AB = 4.6 cm and BC = 5 cm. Find a point P equidistant from AB and BC; and also equidistant from A and B.

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प्रश्न

Draw an ∠ABC = 60°, having AB = 4.6 cm and BC = 5 cm. Find a point P equidistant from AB and BC; and also equidistant from A and B. 

बेरीज
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उत्तर


Steps of construction:

  1. Draw a line segment BC = 5 cm
  2. At B, draw a ray BX making an angle of 60° and cut off BA = 4.6 cm.
  3. Draw the angle bisector of ∠ABC.
  4. Draw the perpendicular bisector of AB which intersects the angle bisector at P.
    P is the required point which is equidistant from AB and BC, as well as from A and B. 
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पाठ 16: Loci (Locus and Its Constructions) - Exercise 16 (A) [पृष्ठ २३८]

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सेलिना Concise Mathematics [English] Class 10 ICSE
पाठ 16 Loci (Locus and Its Constructions)
Exercise 16 (A) | Q 15. | पृष्ठ २३८

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Construct a triangle ABC, in which AB = 4.2 cm, BC = 6.3 cm and AC = 5 cm. Draw perpendicular bisector of BC which meets AC at point D. Prove that D is equidistant from B and C. 


Use ruler and compasses only for this question.

  1. Construct ΔABC, where AB = 3.5 cm, BC = 6 cm and ∠ABC = 60°.
  2. Construct the locus of points inside the triangle which are equidistant from BA and BC.
  3. Construct the locus of points inside the triangle which are equidistant from B and C.
  4. Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and record the length of PB.

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  1. P is equidistant from B and C.
  2. P is equidistant from AB and BC.
  3. Measure and record the length of PB.

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