root 13 on numberline
Answers
Answer:
answer is root 13 in number line
Answer:
Draw a number line (l) and mark the points O, A, B and C such that OA = AB = BC = 1
Draw CD ⊥ l, such that CD = 1 units.
Join OC
In right ΔOCD,
OD2 = OC2 + CD2
OD2 = 9 + 1 = 10
OD = square root of 10
Taking O as centre and D as radius, draw an arc which cuts l in F
Now, draw EF ⊥ l, such that EF = 1 units
Join OE'
In right ΔOEF,
OE2 = OF2 + EF2
OE = square root of 11
Taking O as centre and OE as radius, draw an arc which cuts l in H
Now, draw GH ⊥ l, such that GH = 1 units
Join OG
In right ΔOGH,
OG2 = OH2 + GH2
OG = square root of 12
Taking O as centre and OG as radius, draw an arc which cuts l in J.
Now, draw IJ ⊥ l, such that IJ = 1 units
Join OI,
In right ΔOIJ,
OI2 = OJ2 + JI2
OI = square root of 13= OL
Taking O as centre and OI as radius, draw an arc which cuts l in L.
The point L represents square root of 13on the number line.
