मराठी

Construct a δ Abc, with Ab = 6 Cm, Ac = Bc = 9 Cm; Find a Point 4 Cm from a and Equidistant from B and C.

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प्रश्न

Construct a Δ ABC, with AB = 6 cm, AC = BC = 9 cm; find a point 4 cm from A and equidistant from B and C.

बेरीज
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उत्तर

Construct the ΔABC with given measurements. Draw perpendicular bisector of BC.

With A as centre and 4 cm as radius, draw an arc to intersect perpendicular bisector at P and Q.
Then the points P and Q are the requisite points.

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पाठ 17: Loci - Figure Based Questions

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संबंधित प्रश्‍न

Describe the locus of vertices of all isosceles triangles having a common base.


Construct a triangle ABC, with AB = 6 cm, AC = BC = 9 cm. Find a point 4 cm from A and equidistant from B and C. 


Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords AB and AC of the circle of lengths 6 cm and 5 cm respectively.
(i) Construct the locus of points, inside the circle, that are equidistant from A and C. prove your construction.
(ii) Construct the locus of points, inside the circle that are equidistant from AB and AC. 


Construct a triangle BCP given BC = 5 cm, BP = 4 cm and ∠PBC = 45°.

  1. Complete the rectangle ABCD such that:
    1. P is equidistant from AB and BC.
    2. P is equidistant from C and D.
  2. Measure and record the length of AB. 

Two straight roads AB and CD cross each other at Pat an angle of 75°  . X is a stone on the road AB, 800m from P towards B. BY taking an appropriate scale draw a figure to locate the position of a pole, which is equidistant from P and X, and is also equidistant from the roads. 


AB and CD are two intersecting lines. Find a point equidistant from AB and CD, and also at a distance of 1.8 cm from another given line EF. 


Construct a triangle ABC, such that AB= 6 cm, BC= 7.3 cm and CA= 5.2 cm. Locate a point which is equidistant from A, B and C.


Without using set squares or protractor construct a triangle ABC in which AB = 4 cm, BC = 5 cm and ∠ABC = 120°.
(i) Locate the point P such that ∠BAp = 90° and BP = CP.
(ii) Measure the length of BP.


Without using set squares or protractor.
(i) Construct a ΔABC, given BC = 4 cm, angle B = 75° and CA = 6 cm.
(ii) Find the point P such that PB = PC and P is equidistant from the side BC and BA. Measure AP.


Use ruler and compasses only for the following questions:
Construct triangle BCP, when CB = 5 cm, BP = 4 cm, ∠PBC = 45°.
Complete the rectangle ABCD such that :
(i) P is equidistant from AB and BC and
(ii) P is equidistant from C and D. Measure and write down the length of AB.


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