Question

Find the length of ab if ac=17 and bc=12

Answer 1

Answer:To find the length of AB, we can use the information given about the lengths of AC and BC.

We are given that AC = 17 and BC = 12.

In a triangle, the sum of the lengths of any two sides is always greater than the length of the third side. This is known as the Triangle Inequality Theorem.

Therefore, we can conclude that AC + BC > AB.

Substituting the given values, we have 17 + 12 > AB.

Simplifying, we get 29 > AB.

Since AB cannot be greater than 29, we can conclude that the length of AB is less than 29 units.

However, without additional information or measurements, we cannot determine the exact length of AB.

If there are any other measurements or information provided, please let me know so that I can assist you further in finding the length of AB.

Explanation:

Answer 2

perhaps 5 or perhaps 29

see the explanation and drawings below

Explanation:

Without a picture, you really cannot know how the segments are placed.

Here are 2 possibilities:

A B C

+-----------------------------------------------------+-------------------------------------------+

AC = AB + BC

17 = AB + 12

AB = 5

A C B

+-----------------------------------------------------+-------------------------------------------+

AB = AC + BC

AB = 17 + 12

AB = 29

AB can be 5 or 29 depending on the situation. There are more possibilities.

Without a drawing, these are just guesses.