Mathematics
Grade10
Easy

Question

Suppose ‘A’ is 3 m to the north of ‘B’, and ‘C’ is 4 m to the west of B. How far is ‘A’ from ‘C’?

  1. 5 m
  2. 5 m
  3. 10 m
  4. 15

Hint:

Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

The correct answer is: 5 m


    Here, it is given that point A is 3m to the north of point Band point C is 4m to the west of B. We have to find the distance between A and C.
    We have, AB = 3m and BC = 4m.
    So, AC = √(AB² + BC²)                  [Pythagoras' theorem]
    => AC = √(3² + 4²)
    => AC = √(9+16)
    => AC = √25
    => AC = 5m.
    Hence, the correct option is A or B.

    In a right angled triangle, we have h² = p² + b².

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