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प्रश्न
Using only ruler and compasses, construct a triangle ABC 1 with AB = 5 cm, BC = 3.5 cm and AC= 4 cm. Mark a point P, which is equidistant from AB, BC and also from Band C. Measure the length of PB.
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उत्तर
Steps of construction:
(i) Draw a line segment BC = 3. 5 cm.
(ii) With Bas centre and radius 5 cm draw an arc.
(iii) With C as centre and radius 4 cm draw another arc which intersects the first arc at A.
(iv) Join AB and AC.
(v) Dr aw perpendi cu I ar bi sector of BC.
(vi) Dr aw the angle bi sector of angle ABC which intersects the perpendicular bisector of BC at P.
Pis the required point which is equidistant from AB, BC, Band C.
The length of PB = 2.5 cm
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संबंधित प्रश्न
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Use ruler and compass only for the following question. All construction lines and arcs must be clearly shown.
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- Mark 2 points X and Y which are at a distance of 3.5 cm from A and also equidistant from AC and BC. Measure XY.
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- Draw the locus of a point which moves so that it is always 2.5 cm from B.
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- Mark the point of intersection of the loci with the letter P and measure PC.
