Question

find the value of root 14.3 geometrically​

Answer 1

Answer:

the value of root 14.3 geometrically is 3.7815340

Answer 2

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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