How to represent root index blank of 9.3 end root on number line.

Asked by Sanchit | 30th Apr, 2016, 08:46: PM

Expert Answer:

S t e p 1 colon space D r a w space a space r a y space A F.
S t e p 2 colon space M a r k space a space p o i n t space B space o n space t h e space r a y space A F space s u c h space t h a t space A B equals 9.3 space c m
S t e p 3 colon space M a r k space C space o n space t h e space r a y space A F space s u c h space t h a t space B C equals 1 space c m
S t e p 4 colon space M a r k space t h e space p o i n t space O space s u c h space t h a t comma space A O equals O C equals fraction numerator 9.3 plus 1 over denominator 2 end fraction equals fraction numerator 10.3 over denominator 2 end fraction equals 5.15
S t e p 5 colon space W i t h space c e n t r e space a s space O comma space r a d i u s equals A O equals O C comma space d r a w space a space s e m i c i r c l e.
S t e p 6 colon space D r a w space a space p e r p e n d i c u l a r space l i n e space f r o m space B comma space s o space t h a t space i t space m e e t s space t h e space s e m i space c i r c l e space a t space D.
H e r e comma space O B D space i s space a space r i g h t space t r i a n g l e comma space a n d space O D equals 5.15 comma space O B equals O C minus B C equals 5.15 minus 1 equals 4.15
B y space P y t h a g o r a s space T h e o r e m comma space w e space h a v e comma
O D squared equals O B squared plus B D squared
rightwards double arrow 5.15 squared equals 4.15 squared plus B D squared
rightwards double arrow B D squared equals 5.15 squared minus 4.15 squared
rightwards double arrow B D squared equals 26.5225 minus 17.2225
rightwards double arrow B D squared equals 9.3
rightwards double arrow B D equals square root of 9.3 end root space c m
S t e p 7 colon space N o w space w i t h space B space a s space c e n t r e space a n d space B D equals square root of 9.3 end root space c m space a s space r a d i u s comma space d r a w space a space c i r c l e space t o space m e e t space t h e space A F space a t space E.
S t e p 8 colon space T h u s comma space B D equals B E equals square root of 9.3 end root space c m

Answered by Vimala | 1st May, 2016, 12:45: PM