Locate root 52 on number with the help of Pythagoras Theorem...
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Step-by-step explanation:
√52:-
Steps of Construction:-
- Draw a number line and mark numbers 0,1,2...on it.
- Construct a rectangle whose length 6 units and breadth is 4 units.
- OABC is a rectangle and OA = BC = 6 units and AB = OC = 4 units
- Join O and B.
- OB is a diagonal of a rectangle which divides it into two congruent triangles.
- They are ∆BCO and ∆ OAB .
- Since they are congruent their areas are equal .
- In ∆ OAB , angle A = 90° so it is a right angled triangle.
- By Pythagoras theorem, The square of the hypotenuse is equal to the sum of the squares of the other two sides.
- OB^2 = OA^2+AB^2
- OB^2=6^2+4^2
- OB^2 = 36+16
- OB^2 = 52
- OB =√52 units
- Draw an arc on the number line with the radius OB =√52 then it cuts the number line at K.
- K represents√52 on the number line.
- K = 7.2 ... (shown in the figure)
- The value of √52 = 7.2111...
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Answer:
your answer is 52
Step-by-step explanation:
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