show route thirteen on number line
Answers
Answer:
Draw a number lines (/) and mark the points O, A, B and C such that OA = AB = BC = 1
Draw CD I, such that CD = 1 units.
Join OC
In right /\OCD, [/\ - triangle]
OD^2 = OC^2 + CD^2
OD^2 = 9 + 1 = 10
OD = √10
Taking O as centre and D as radius , draw an arc which cuts / in F
Now draw EF I, such that EF is 1 units
Join OE'
In right /\OEF,
OE^2 = OF^2 + EF^2
OE = √11
Taking O as centre and OE as radius, draw an arc which cuts / in H
Now draw GH I, such that GH = 1 units
Join OG ,
In right /\OGH ,
OG^2 = OH^2 + GH^2
OG = √12
Taking O as centre and OG as radius, draw an arc which cuts I in J.
Now, draw IJ I, such that IJ = 1 units
Join OI,
In right /\OIJ,
OI^2 = OJ^2 + JI^2
OI = √13 = OL
Taking O as centre and OI as radius, draw and arc which cuts I in L.
The point L represents √13 on the number line.
The image diagram is mentioned above.