Solve for the length of the unknown side in the following right triangle. (Side AC is the hypotenuse.) Round your answer to two places, where applicable.

Side AB ?
Side BC=12
Side AC=19

To find the length of the unknown side AB in the right triangle with side BC = 12 and side AC = 19, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The formula is: AC^2 = AB^2 + BC^2

Substituting the values, we have:
19^2 = AB^2 + 12^2

After simplifying, we get:
361 = AB^2 + 144

To isolate AB^2, we subtract 144 from both sides:
AB^2 = 361 - 144

AB^2 = 217

To find AB, we take the square root of both sides:
AB = √217

Rounding to two decimal places, the length of the unknown side AB is approximately 14.73.

To solve for the length of the unknown side (AB) in the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the lengths of the other two sides (AB and BC).

The Pythagorean theorem can be represented by the equation: AC^2 = AB^2 + BC^2

Substituting the given values into the equation, we have:
19^2 = AB^2 + 12^2

Simplifying, we get:
361 = AB^2 + 144

To isolate AB, we subtract 144 from both sides:
361 - 144 = AB^2

217 = AB^2

To solve for AB, take the square root of both sides:
√217 = √(AB^2)

Simplifying, we get:
AB ≈ 14.73

Therefore, the length of the unknown side (AB) is approximately 14.73 units.

Given ABC is a right triangle with AC being the hypotenuse, then angle B is a right-angle.

Use Pythagoras Theorem to solve thus:
AC²=BC²+AB²
or
19²=12²+AB²
Solve for AB.

144