The range that the third side of the given triangle will fall within is: 38 < 3rd side <64.
If we are given two sides of a triangle, to find the range of the possible length of the third side, simply add both given sides and subtract both given sides to get the range the length of the third side will fall in.
Given a triangle has lengths, 13 and 51, the possible length of the third side would be:
51 - 13 = 38
51 + 13 = 64
Range would be, 38 < 3rd side <64.
Learn more about range of a side of a triangle on:
https://brainly.com/question/21335401