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30 June, 19:04

A triangle has two sides of lengths 7 and 12. What value could the length of

the third side be? Check all that apply.

A. 7

B. 5

C. 9

D. 3

E. 17

F. 11

+3
Answers (1)
  1. 30 June, 19:30
    0
    A. 7

    Step-by-step explanation:

    Since the triangle sides are not defined, therefore let the base side have the 12 unit and one of the slant side be 7 unit.

    Therefore height of the triangle, h can gotten from the Pythagoras theorem as thus:

    7² = (12/2) ² + h²

    49 = 36 + h²

    h² = 49 - 36 = 13

    h = √13

    knowing the height of the triangle, we can apply same rule to the other unknown slant side, x as thus:

    x² = (12/2) ² + h²

    x² = 36 + 13 = 49

    x = √49

    x = 7
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