Using a ruler and compasses only :

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asked 3 days ago in Class X Maths by muskan15 (-1,643 points)

Using a ruler and compasses only :

(i) Construct a triangle ABC with the following data : AB = 3.5 cm, BC = 6 cm and ∠ABC  = 120˚

(ii) In the same diagram, draw a circle with BC as diameter. Find a point P on the circumference of the circle which is equidistant from AB and BC.

(iii) Measure ∠BCP.

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1 Answer

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answered 3 days ago by aditya23 Premium (905 points)

(i) 1.Draw a line segment  BC = 6 cm.

2. Draw ∠ABC = 120˚.

3. With centre B and radius BA = 3.5 cm, draw an arc.

4. Join AB and AC.

(ii) 1. Draw the right bisector on line BC cut the BC line at M.

2. Draw another bisector of line AC.

3. With M as centre and radius MB draw a circle cut AC bisector at P.

(iii) ∠BCP = 30˚.

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