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Using Only Ruler and Compasses, Construct a Triangle Abc 1 with Ab = 5 Cm, Bc = 3.5 Cm and Ac= 4 Cm - Mathematics

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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. 

आकृति

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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अध्याय 16: Loci - Exercise 16.1

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 16 Loci
Exercise 16.1 | Q 25

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