If AC = 20 centimeters, and BC = 16 centimeters, what does AB equal?

What kind of shape is this?

36

triangle

this answer is incorrect .

To find the length of AB, you can use the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this case, AC and BC are the two sides of the right triangle, and AB is the hypotenuse.

According to the Pythagorean theorem, the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse. Mathematically, this can be written as:

AC^2 + BC^2 = AB^2

Plugging in the given values, we have:

(20 cm)^2 + (16 cm)^2 = AB^2

Simplifying, we get:

400 cm^2 + 256 cm^2 = AB^2

656 cm^2 = AB^2

To find AB, we need to take the square root of both sides:

AB = √656 cm

Calculating the square root of 656, we find:

AB ≈ 25.61 cm.

Therefore, AB is approximately equal to 25.61 centimeters.