so for the length of the unknown side of the following right triangle. Side AB is 17 side BC is 22. Side AC is the hypotenuse

1 answer

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

So, we can set up the equation as follows:

AC^2 = AB^2 + BC^2

Plugging in the given values:

AC^2 = 17^2 + 22^2

Simplifying:

AC^2 = 289 + 484

AC^2 = 773

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

AC = √773

AC is approximately equal to 27.82