Maths-
General
Easy

Question

The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.

hintHint:

Add the distance between birds to get distance

The correct answer is: 4 cm.


    Step-by-step explanation:
      • Given:
    Distance between 1st bird and 2nd bird = 15 cm.
    Distance between 2nd bird and 3rd bird = 17 cm.
    Distance between 4th bird and last bird = 12 cm.
    Distance between 1st bird and last bird = 40 cm.

      • Step 1:
      • Let the distance between 3rd and 4th bird be X cm.
    As we know, the three bird are between 1st and last bird.
    So,
    Distance between 1st and last bird =
    Distance between 1st bird and 2nd bird + Distance between 2nd bird and 3rd bird + Distance between 3rd bird and 4th bird + Distance between 4th bird and last bird
    ∴ Distance between 1st and last bird = 15 + 17 + X + 12

    40 = 15 + 17 + X + 12

    40 = 44 + X

    X = 44 – 40

    X = 4 cm
    Hence, Distance between 3rd and 4th bird is 4 cm.

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