मराठी

Using a Ruler and Compass Only: (I) Construct a Triangle Abc with Bc = 6 Cm, ∠Abc = 120° and Ab = 3.5 Cm. (Ii) in the Above Figure, Draw a Circle with Bc as Diameter. Find a Point 'P' on the - Mathematics

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प्रश्न

Using a ruler and compass only: 
(i) Construct a triangle ABC with BC = 6 cm, ∠ABC = 120° and AB = 3.5 cm.
(ii) In the above figure, draw a circle with BC as diameter. Find a point 'P' on the circumference of the circle which is equidistant from Ab and BC.
Measure ∠BCP.

आकृती
बेरीज
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उत्तर

(i) Steps of  construction:
(1) Draw BC = 6 cm.
(2) Draw ∠ABC = 120°.
(3) Cut BA = 3·5 cm.
(4) Join A to C.
(5) Draw ⊥ bisector MN of BC.
(6) Draw a circle O as centre and OC, OB radius.
(7) Draw angle bisector of ∠ABC which intersect circle at P.

(ii) ∠BCP = 30°.

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