If AB= 9 centimeters and BC= 12 what does Ac equal ? and it is a right triangle .

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

15 = c

3.5

To find the length of side AC in a right triangle, we can use the Pythagorean theorem, which 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 other two sides.

Let's label side AC as "c" (lowercase) in accordance with the theorem. Given that AB = 9 centimeters and BC = 12 centimeters, we have:

AC = c (to find)
AB = 9 centimeters
BC = 12 centimeters

According to the Pythagorean theorem, we can write:

c^2 = AB^2 + BC^2

Plugging in the given values:

c^2 = (9 centimeters)^2 + (12 centimeters)^2

Simplifying:

c^2 = 81 cm^2 + 144 cm^2
c^2 = 225 cm^2

Now, we take the square root of both sides to solve for c:

√(c^2) = √(225 cm^2)
c = √225
c = 15 cm

So, AC is equal to 15 centimeters.