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1. The length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17 according to the properties of a triangle.

   According to the given question.

   We have a right angled triangle with the two side lengths 5 unit and 12 unit.

   From the properties of a triangle we know that ” the sum of the length of the two sides of a triangle is greater than the length of the third side”. Or ” the difference between the two sides of a triangle is less than the length of the third side”.

   Let the third side of the triangle be x units.

   So, by the properties of a triangle we can say that

   12 – 5 < x

   ⇒ 7 < x

   And 12 + 5 > x

   ⇒ 17 > x

   Therefore, the length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17.

   Find out more information about properties of a triangle here:

   https://brainly.com/question/27711437

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