If AB=7 and BC=12, then what is the length of AC?

7 + 12 = ?

If AB=7, then BC=

To find the length of AC, you can apply the concept of the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, AB and BC are the two sides of the right triangle, and AC is the hypotenuse. Therefore, we can use the Pythagorean theorem as follows:

AC^2 = AB^2 + BC^2

Now, substitute the given values:

AC^2 = 7^2 + 12^2

Simplify the equation:

AC^2 = 49 + 144

AC^2 = 193

To find the length of AC, take the square root of both sides:

AC = √193

So, the length of AC is approximately 13.928 units.