Find the value of root 4.3 in geometrically
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answer is in photograph
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sunny323:
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Construction steps:
1 ) Draw a line segment AB = 5.3
2) Mark P on AB such that AP = 4.3
3) Draw a perpendicular bisector of AB , which intersects AB at M .
4) Take M as a centre and MA as a radius draw a semicircle.
5) Draw a perpendicular line to AB from P which intersects semicircle at R .
6 ) PR = √4.3
7) Take P as a centre and PR as a radius draw an ark which
intersects AB at C.
8) PC = √4.3
Analysis :
∆APR , BPR are similar.
AP/PR = PR/BP
=> 4.3/PR = PR/1
=> 4.3 = PR²
=> PR = √4.3
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