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12 July, 06:40

If a triangle has sides that are 21 and 6 what is the range for third side x?

Enter your answer without spaces in range format.

Example: 1
+1

Answers (1)
  1. 12 July, 07:59
    0
    15
    Step-by-step explanation:

    Rule for the sides of a triangle:

    The sum of the two smallest sides of a triangle must be greater than the biggest side.

    In this question:

    Sides of 6, 21 and x. We have to find the range for x.

    If 21 is the largest side:

    Two smallest are 6 and x.

    x + 6 > 21

    x > 21 - 6

    x > 15

    If x is the largest side:

    Two smallest and 6 and 21. So

    21 + 6 > x

    27 > x

    x < 27

    Then

    x has to be greater than 15 and smaller than 27. So the answer is:

    15
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